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Beliebt Algebra >

completesquare 4x^2+4x

Lösung

vervollständige das quadrat

4 x^{2} + 4 x

Lösung

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

Schritte zur Lösung

4 x^{2} + 4 x

Schreibe

4 x^{2} + 4 x

in dieser Form:

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

Klammere aus

4

4 (x^{2} + x)

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

Addiere und subtrahiere

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

x^{2} = 5 - 9 x

0 = 3 x^{2} + 2 x

25 x^{2} = 45

10 x^{2} + 8 x + 1 = 0

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