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Beliebt Algebra >

completesquare x^2+x-12

Lösung

vervollständige das quadrat

x^{2} + x - 12

Lösung

(x + \frac{1}{2})^{2} - \frac{49}{4}

Schritte zur Lösung

x^{2} + x - 12

Schreibe

x^{2} + x - 12

in dieser Form:

x^{2} + 2 a x + a^{2}

2 a = 1 : a = \frac{1}{2}

Addiere und subtrahiere

(\frac{1}{2})^{2}

x^{2} + x - 12 + (\frac{1}{2})^{2} - (\frac{1}{2})^{2}

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} + 1 x + (\frac{1}{2})^{2} = (x + \frac{1}{2})^{2}

(x + \frac{1}{2})^{2} - 12 - (\frac{1}{2})^{2}

Vereinfache

(x + \frac{1}{2})^{2} - \frac{49}{4}

Graph

Beliebte Beispiele

9 x^{2} + 18 x - 7 = 0

faktorisieren x^2+4x-60=0

f a c t or x^{2} + 4 x - 60 = 0

50y^2-350y+600=0

50 y^{2} - 350 y + 600 = 0

5 x^{2} - 16 x = - 3

x^2-27x+180=-3x-20

x^{2} - 27 x + 180 = - 3 x - 20