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Beliebt Algebra >

completesquare 3x^2+2x+2

Lösung

vervollständige das quadrat

3 x^{2} + 2 x + 2

Lösung

3 (x + \frac{1}{3})^{2} + \frac{5}{3}

Schritte zur Lösung

3 x^{2} + 2 x + 2

Schreibe

3 x^{2} + 2 x + 2

in dieser Form:

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

Klammere aus

3

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

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

Addiere und subtrahiere

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

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

Vereinfache

3 (x + \frac{1}{3})^{2} + \frac{5}{3}

Graph

Beliebte Beispiele

25(5x-1)^2-40=-4

25 (5 x - 1)^{2} - 40 = - 4

solvefor y,x^2=4y^2

so l v e f or y, x^{2} = 4 y^{2}

x^{2} = - 32 + 12 x

3 (x^{2} - 6) - 2 = 1

y^{2} + 10 y + 4 = 0