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Beliebt Algebra >

completesquare 9x^2+6x+1

Lösung

vervollständige das quadrat

9 x^{2} + 6 x + 1

Lösung

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

Schritte zur Lösung

9 x^{2} + 6 x + 1

Schreibe

9 x^{2} + 6 x + 1

in dieser Form:

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

Klammere aus

9

9 (x^{2} + \frac{2 x}{3} + \frac{1}{9})

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

Addiere und subtrahiere

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

9 (x^{2} + \frac{2 x}{3} + \frac{1}{9} + (\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}

9 ((x + \frac{1}{3})^{2} + \frac{1}{9} - (\frac{1}{3})^{2})

Vereinfache

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

Graph

Beliebte Beispiele

x + 15 = x (x - 1)

solvefor x,x^2+7x=0

so l v e f or x, x^{2} + 7 x = 0

4 x^{2} + 4 x + 6 = 0

completesquare 3x^2-18x+24=0

co m pl e t es q u a re 3 x^{2} - 18 x + 24 = 0

0 = - x^{2} + 64