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Beliebt Algebra >

completesquare 3x^2+3x

Lösung

vervollständige das quadrat

3 x^{2} + 3 x

Lösung

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

Schritte zur Lösung

3 x^{2} + 3 x

Schreibe

3 x^{2} + 3 x

in dieser Form:

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

Klammere aus

3

3 (x^{2} + x)

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

Addiere und subtrahiere

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

3 (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}

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

Vereinfache

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

Graph

Beliebte Beispiele

4 x^{2} - 5 x = - 2

8 x^{2} + 12 x - 3 = 0

2 x^{2} = 7 x - 6

(1 - x)^{2} = 4

m^{2} + 7 m = 0