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Beliebt Algebra >

completesquare x^2-11x-12

Lösung

vervollständige das quadrat

x^{2} - 11 x - 12

Lösung

(x - \frac{11}{2})^{2} - \frac{169}{4}

Schritte zur Lösung

x^{2} - 11 x - 12

Schreibe

x^{2} - 11 x - 12

in dieser Form:

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

2 a = - 11 : a = - \frac{11}{2}

Addiere und subtrahiere

(- \frac{11}{2})^{2}

x^{2} - 11 x - 12 + (- \frac{11}{2})^{2} - (- \frac{11}{2})^{2}

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

x^{2} - 11 x + (- \frac{11}{2})^{2} = (x - \frac{11}{2})^{2}

(x - \frac{11}{2})^{2} - 12 - (- \frac{11}{2})^{2}

Vereinfache

(x - \frac{11}{2})^{2} - \frac{169}{4}

Graph

Beliebte Beispiele

(x + 3) (x + 1) = 0

4 x^{2} + 12 x + 36 = 0

4.9x^2+16.8x+7.6=0

4.9 x^{2} + 16.8 x + 7.6 = 0

- 4 = x^{2} + 5 x

completesquare x^2+10x=-9

co m pl e t es q u a re x^{2} + 10 x = - 9