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Beliebt Algebra >

completesquare x^2+6x-6

Lösung

vervollständige das quadrat

x^{2} + 6 x - 6

Lösung

(x + 3)^{2} - 15

Schritte zur Lösung

x^{2} + 6 x - 6

Schreibe

x^{2} + 6 x - 6

in dieser Form:

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

2 a = 6 : a = 3

Addiere und subtrahiere

3^{2}

x^{2} + 6 x - 6 + 3^{2} - 3^{2}

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

x^{2} + 6 x + 3^{2} = (x + 3)^{2}

(x + 3)^{2} - 6 - 3^{2}

Vereinfache

(x + 3)^{2} - 15

Graph

Beliebte Beispiele

(x - 1) (2 x + 7) = 0

6 (x^{2} - 1) - 5 x = 0

2 x^{2} = 16 x - 32

s^{2} + 6 s + 7 = 0

0.25=-0.00008x^2-0.0035x+1.0519

0.25 = - 0.00008 x^{2} - 0.0035 x + 1.0519