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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

x^{2} + 14 x + 39 = 0

solvefor x,9y^2-18y-16x^2+32x-7=0

so l v e f or x, 9 y^{2} - 18 y - 16 x^{2} + 32 x - 7 = 0

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

- x^{2} = - 1

solvefor t,t^2=-4x

so l v e f or t, t^{2} = - 4 x