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Beliebt Algebra >

completesquare x^2-5x

Lösung

vervollständige das quadrat

x^{2} - 5 x

Lösung

(x - \frac{5}{2})^{2} - \frac{25}{4}

Schritte zur Lösung

x^{2} - 5 x

Schreibe

x^{2} - 5 x

in dieser Form:

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

2 a = - 5 : a = - \frac{5}{2}

Addiere und subtrahiere

(- \frac{5}{2})^{2}

x^{2} - 5 x + (- \frac{5}{2})^{2} - (- \frac{5}{2})^{2}

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

x^{2} - 5 x + (- \frac{5}{2})^{2} = (x - \frac{5}{2})^{2}

(x - \frac{5}{2})^{2} - (- \frac{5}{2})^{2}

Vereinfache

(x - \frac{5}{2})^{2} - \frac{25}{4}

Graph

Beliebte Beispiele

faktorisieren x^2+5x+6=0

f a c t or x^{2} + 5 x + 6 = 0

12 x^{2} + 17 x - 5 = 0

3(x+2)(x-2)=(x-4)^2+8x

3 (x + 2) (x - 2) = (x - 4)^{2} + 8 x

4 x^{2} + 13 = 12 x

5 x^{2} - 2 x + 13 = 9