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Beliebt Algebra >

completesquare x^2-9x

Lösung

vervollständige das quadrat

x^{2} - 9 x

Lösung

(x - \frac{9}{2})^{2} - \frac{81}{4}

Schritte zur Lösung

x^{2} - 9 x

Schreibe

x^{2} - 9 x

in dieser Form:

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

2 a = - 9 : a = - \frac{9}{2}

Addiere und subtrahiere

(- \frac{9}{2})^{2}

x^{2} - 9 x + (- \frac{9}{2})^{2} - (- \frac{9}{2})^{2}

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

x^{2} - 9 x + (- \frac{9}{2})^{2} = (x - \frac{9}{2})^{2}

(x - \frac{9}{2})^{2} - (- \frac{9}{2})^{2}

Vereinfache

(x - \frac{9}{2})^{2} - \frac{81}{4}

Graph

Beliebte Beispiele

(x-2)^2+(x-9)^2=x^2

(x - 2)^{2} + (x - 9)^{2} = x^{2}

3 x^{2} - 4 x - 20 = 0

faktorisieren x^2-2x=0

f a c t or x^{2} - 2 x = 0

solvefor x,xy^4+x^2y=x+3y

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

solvefor c,x^2-y^2=c^2

so l v e f or c, x^{2} - y^{2} = c^{2}