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Beliebt Algebra >

completesquare 3x^2+2x-6

Lösung

vervollständige das quadrat

3 x^{2} + 2 x - 6

Lösung

3 (x + \frac{1}{3})^{2} - \frac{19}{3}

Schritte zur Lösung

3 x^{2} + 2 x - 6

Schreibe

3 x^{2} + 2 x - 6

in dieser Form:

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

Klammere aus

3

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

2 a = \frac{2}{3} : a = \frac{1}{3}

Addiere und subtrahiere

(\frac{1}{3})^{2}

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

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

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

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

Vereinfache

3 (x + \frac{1}{3})^{2} - \frac{19}{3}

Graph

Beliebte Beispiele

s^{2} = 25

(x+5)^3-x^3-15^2=50

(x + 5)^{3} - x^{3} - 1 5^{2} = 50

y^{2} - y - 3 = 0

- 5 k^{2} = - 20

0 = - x^{2} + 14 x