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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

27ay-14y^2=10a^2

27 a y - 14 y^{2} = 10 a^{2}

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

faktorisieren x^2-5x=0

f a c t or x^{2} - 5 x = 0

x - 36 = x^{2} - 11 x

3 x^{2} + 1 = 5