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Beliebt Algebra >

completesquare x^2+x-2

Lösung

vervollständige das quadrat

x^{2} + x - 2

Lösung

(x + \frac{1}{2})^{2} - \frac{9}{4}

Schritte zur Lösung

x^{2} + x - 2

Schreibe

x^{2} + x - 2

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

Vereinfache

(x + \frac{1}{2})^{2} - \frac{9}{4}

Graph

Beliebte Beispiele

4 x^{2} + 16 x - 53 = 5

2^{2} + 1^{2} = c^{2}

9 y^{2} + 4 = 0

3 x^{2} = 2 x + 7

x^{2} - 8 x + 30 = 0