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Beliebt Algebra >

completesquare x^2+12x+11

Lösung

vervollständige das quadrat

x^{2} + 12 x + 11

Lösung

(x + 6)^{2} - 25

Schritte zur Lösung

x^{2} + 12 x + 11

Schreibe

x^{2} + 12 x + 11

in dieser Form:

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

2 a = 12 : a = 6

Addiere und subtrahiere

6^{2}

x^{2} + 12 x + 11 + 6^{2} - 6^{2}

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

x^{2} + 12 x + 6^{2} = (x + 6)^{2}

(x + 6)^{2} + 11 - 6^{2}

Vereinfache

(x + 6)^{2} - 25

Graph

Beliebte Beispiele

a^{2} + a = 2

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

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

n^2-n-5=-2n^2-2n^2

n^{2} - n - 5 = - 2 n^{2} - 2 n^{2}

2 x^{2} + 16 x + 26 = 0