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Beliebt Algebra >

completesquare q^2+11q

Lösung

vervollständige das quadrat

q^{2} + 11 q

Lösung

(q + \frac{11}{2})^{2} - \frac{121}{4}

Schritte zur Lösung

q^{2} + 11 q

Schreibe

q^{2} + 11 q

in dieser Form:

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

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

Addiere und subtrahiere

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

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

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

q^{2} + 11 q + (\frac{11}{2})^{2} = (q + \frac{11}{2})^{2}

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

Vereinfache

(q + \frac{11}{2})^{2} - \frac{121}{4}

Graph

Beliebte Beispiele

2 x^{2} - 6 x - 11 = 0

x + 2 = (x - 5) (x + 2)

2 x^{2} + 5 x = - 6

0 = 2 x^{2} - 3 x + 1

12 x^{2} + 1 = 0