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Beliebt Algebra >

completesquare 2x^2+2x-1

Lösung

vervollständige das quadrat

2 x^{2} + 2 x - 1

Lösung

2 (x + \frac{1}{2})^{2} - \frac{3}{2}

Schritte zur Lösung

2 x^{2} + 2 x - 1

Schreibe

2 x^{2} + 2 x - 1

in dieser Form:

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

Klammere aus

2

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

2 a = 1 : a = \frac{1}{2}

Addiere und subtrahiere

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

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

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

Vereinfache

2 (x + \frac{1}{2})^{2} - \frac{3}{2}

Graph

Beliebte Beispiele

- 2 x^{2} - 6 x - 7 = 0

10x^2-6x-18=x^2-6x

10 x^{2} - 6 x - 18 = x^{2} - 6 x

4 x^{2} + 7 = - 9 x

pi=-50+32q-4q^2

π = - 50 + 32 q - 4 q^{2}

1/3 (x+4)^2-1=5

\frac{1}{3} (x + 4)^{2} - 1 = 5