Mathe Helferlein
Mathematik (endlich) verstehen
Quadratische Gleichungen
Übersicht Online Rechner Übungsaufgaben ABC-Formel ABC-Formel Rechner ABC-Formel Übungsaufgaben PQ-Formel PQ-Formel Rechner PQ-Formel Übungsaufgaben

Binomische Formeln
Binomische Formeln Rechner Übungsaufgaben

ABC Formel Rechner - mit Brüchen und Gleichngen

Online Rechner für die ABC Formel. Es können beliebige Gleichungen eingegeben werden solange sich diese in eine quadratische Gleichung umformen lassen. Die umgeformte Gleichung wird anschließend mit Hilfe der ABC Formel gelöst. Der ABC Formel Rechner zeigt hierbei auch alle notwendigen Rechenschritte an.

Beispiele für ABC-Formel:
$3x^2 + 9x + 6$
$x^2 + 6x + 8$
$x^2 - 6x - 56$
$x^2 + 1.3x - 2.6$
$x^2 + 2x + 1$
$x^2 + 0.5x - 1$
$x^2 + 18x - 10$

Weitere Beispiele findest Du in den ABC Formel Übungsaufgaben


Wie lautet Deine ABC-Formel?

Folgendes wird berechnet:



Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384
Deine eingegebene Formel

${\left(x-4\right)}^{2} = -0.5x^{2}+54$

Klammern ausrechnen, vereinfachen, umschreiben

$x^{2}-8x+16 = -0.5x^{2}+54$


Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384
Alle Werte der rechten Seite auf die linke Seite bringen (Nullform)

$\left(1-\left(-0.5\right)\right)x^{2}-8x+16-54 = 0$


Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384
Und das Ganze zusammenfassen

$1.5x^{2}-8x-38 = 0$


Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: Creation of dynamic property cQTerm::$e_abc_1a_mtx is deprecated in /homepages/pj-mathe/htdocs/_data/abc-pq-formel.inc.php on line 729

Deprecated: Creation of dynamic property cQTerm::$e_abc_2_mtx is deprecated in /homepages/pj-mathe/htdocs/_data/abc-pq-formel.inc.php on line 737

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384

Deprecated: preg_match(): Passing null to parameter #2 ($subject) of type string is deprecated in /homepages/pj-mathe/htdocs/_data/evalmath.class.php on line 384
Die ABC-Formel zum Berechnen

$1.5x^{2}-8x-38 = 0$

mit den Werten

$a = 1.5$ und $b = -8$ und $c = -38$

einsetzen in die ABC Formel

$x_{1,2} = \frac{-b{\pm}{\sqrt{b^2 - 4ac}}}{2a}$

Einsetzen in die ABC-Formel liefert

$x_{1,2}=\frac{-\left(-8\right) \pm \sqrt{\left(-8\right) ^2 - 4 \cdot 1.5 \cdot \left(-38\right) }}{2 \cdot 1.5}$

Wert unterhalb der Wurzel ein wenig zusammenfassen

$x_{1,2}=\frac{-\left(-8\right) \pm \sqrt{64 - \left(-228\right) }}{3}$

Wert unterhalb der Wurzel ausrechnen

$x_{1,2}=\frac{-\left(-8\right) \pm \sqrt{292}}{3}$

Wurzel ziehen

$x_{1,2}=\frac{-\left(-8\right) \pm 17.088}{3}=\frac{8 \pm 17.088}{3}$

Als Ergebnis erhält man

$x_{1}=8.3627$

$x_{2}=-3.0293$