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Beliebt Algebra >

completesquare x^2+x-5

Lösung

vervollständige das quadrat

x^{2} + x - 5

Lösung

(x + \frac{1}{2})^{2} - \frac{21}{4}

Schritte zur Lösung

x^{2} + x - 5

Schreibe

x^{2} + x - 5

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 - 5 + (\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} - 5 - (\frac{1}{2})^{2}

Vereinfache

(x + \frac{1}{2})^{2} - \frac{21}{4}

Graph

Beliebte Beispiele

4 x (x + 1) = 0

12 x^{2} + 8 = 0

25 w^{2} - 36 = 0

- 2 x^{2} - 6 x = 15

-1/4 x^2+5x+24=0

- \frac{1}{4} x^{2} + 5 x + 24 = 0