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Beliebt Algebra >

completesquare x^2+11x-2

Lösung

vervollständige das quadrat

x^{2} + 11 x - 2

Lösung

(x + \frac{11}{2})^{2} - \frac{129}{4}

Schritte zur Lösung

x^{2} + 11 x - 2

Schreibe

x^{2} + 11 x - 2

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

Vereinfache

(x + \frac{11}{2})^{2} - \frac{129}{4}

Graph

Beliebte Beispiele

solvefor x,x^2+4x-3=0

so l v e f or x, x^{2} + 4 x - 3 = 0

(2 x + 5) (x - 1) = - 6

u^{2} = - 25

12 x^{2} - 30 x + 12 = 0

6 x^{2} + 4 x + 11 = 2