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Beliebt Algebra >

completesquare x^2-1x

Lösung

vervollständige das quadrat

x^{2} - 1 x

Lösung

(x - \frac{1}{2})^{2} - \frac{1}{4}

Schritte zur Lösung

x^{2} - 1 \cdot x

Schreibe in der Standard Form

a x^{2} + b x + c

x^{2} - x

Schreibe

x^{2} - x

in dieser Form:

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

2 a = - 1 : a = - \frac{1}{2}

Addiere und subtrahiere

(- \frac{1}{2})^{2}

x^{2} - x + (- \frac{1}{2})^{2} - (- \frac{1}{2})^{2}

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

x^{2} - 1 x + (- \frac{1}{2})^{2} = (x - \frac{1}{2})^{2}

(x - \frac{1}{2})^{2} - (- \frac{1}{2})^{2}

Vereinfache

(x - \frac{1}{2})^{2} - \frac{1}{4}

Graph

Beliebte Beispiele

2x(x+1)=12-2(x-9)

2 x (x + 1) = 12 - 2 (x - 9)

x^{2} - x - 36 = 0

solvefor x,2x^2+kx+3=0

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

-3x^2+4x-59=-4x^2

- 3 x^{2} + 4 x - 59 = - 4 x^{2}

y^{2} + 5 y + 12 = 0