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
Deine eingegebene Formel
$4\left(x^{2}-2x-8\right) = 0$
Klammern ausrechnen, vereinfachen, umschreiben
$4x^{2}-8x-32 = 0$
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
$4x^{2}-8x-32 = 0$
mit den Werten
$a = 4$ und $b = -8$ und $c = -32$
einsetzen in die ABC Formel
$x_{1,2} = \frac{-b{\pm}{\sqrt{b^2 - 4ac}}}{2a}$
Einsetzen in die ABC-Formel liefert
$x_{1,2}=\frac{-\left(-8\right) \pm \sqrt{\left(-8\right) ^2 - 4 \cdot 4 \cdot \left(-32\right) }}{2 \cdot 4}$
Wert unterhalb der Wurzel ein wenig zusammenfassen
$x_{1,2}=\frac{-\left(-8\right) \pm \sqrt{64 - \left(-512\right) }}{8}$
Wert unterhalb der Wurzel ausrechnen
$x_{1,2}=\frac{-\left(-8\right) \pm \sqrt{576}}{8}$
Wurzel ziehen
$x_{1,2}=\frac{-\left(-8\right) \pm 24}{8}=\frac{8 \pm 24}{8}$
Als Ergebnis erhält man
$x_{1}=4$
$x_{2}=-2$