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Beliebt Algebra >

completesquare 2x^2+x

Lösung

vervollständige das quadrat

2 x^{2} + x

Lösung

2 (x + \frac{1}{4})^{2} - \frac{1}{8}

Schritte zur Lösung

2 x^{2} + x

Schreibe

2 x^{2} + x

in dieser Form:

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

Klammere aus

2

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

2 a = \frac{1}{2} : a = \frac{1}{4}

Addiere und subtrahiere

(\frac{1}{4})^{2}

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

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

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

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

Vereinfache

2 (x + \frac{1}{4})^{2} - \frac{1}{8}

Graph

Beliebte Beispiele

4 x^{2} + 8 x + 16 = 0

3 x^{2} + 5 x + 12 = 0

2y(y-5)+y(y+2)=35

2 y (y - 5) + y (y + 2) = 35

3 (x - 2)^{2} + 225 = 0

3 x^{2} + 33 x + 72 = 0