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Beliebt Algebra >

completesquare 4x^2+2x

Lösung

vervollständige das quadrat

4 x^{2} + 2 x

Lösung

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

Schritte zur Lösung

4 x^{2} + 2 x

Schreibe

4 x^{2} + 2 x

in dieser Form:

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

Klammere aus

4

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

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

Addiere und subtrahiere

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

4 (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}

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

Vereinfache

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

Graph

Beliebte Beispiele

v^{2} = - 81

-7f+4f^2=-2f^2-f

- 7 f + 4 f^{2} = - 2 f^{2} - f

64 = 2 u^{2}

6 x^{2} + 3 x = 1

12x^2-96x+140=0

12 x^{2} - 96 x + 140 = 0