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Beliebt Algebra >

completesquare x^2+12x-5

Lösung

vervollständige das quadrat

x^{2} + 12 x - 5

Lösung

(x + 6)^{2} - 41

Schritte zur Lösung

x^{2} + 12 x - 5

Schreibe

x^{2} + 12 x - 5

in dieser Form:

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

2 a = 12 : a = 6

Addiere und subtrahiere

6^{2}

x^{2} + 12 x - 5 + 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} - 5 - 6^{2}

Vereinfache

(x + 6)^{2} - 41

Graph

Beliebte Beispiele

9 x^{2} - 6 x = 1

completesquare x^2+12x+7

co m pl e t es q u a re x^{2} + 12 x + 7

solvefor a,a^2=h^2+(a/2)^2

so l v e f or a, a^{2} = h^{2} + (\frac{a}{2})^{2}

(x - 2)^{3} = x^{3} - 2 x

solvefor a,a^2+2b^2=2a-1

so l v e f or a, a^{2} + 2 b^{2} = 2 a - 1