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Beliebt Algebra >

completesquare 9x^2+18x

Lösung

vervollständige das quadrat

9 x^{2} + 18 x

Lösung

9 (x + 1)^{2} - 9

Schritte zur Lösung

9 x^{2} + 18 x

Schreibe

9 x^{2} + 18 x

in dieser Form:

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

Klammere aus

9

9 (x^{2} + 2 x)

2 a = 2 : a = 1

Addiere und subtrahiere

1^{2}

9 (x^{2} + 2 x + 1^{2} - 1^{2})

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

x^{2} + 2 x + 1^{2} = (x + 1)^{2}

9 ((x + 1)^{2} - 1^{2})

Vereinfache

9 (x + 1)^{2} - 9

Graph

Beliebte Beispiele

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

(a - 4)^{2} = 16

1+x^2=(37/35)^2

1 + x^{2} = (\frac{37}{35})^{2}

9 x^{2} + 28 x + 50 = 0

A=(x+8)^2+(x-8)^2-(x+2)(x-2)

A = (x + 8)^{2} + (x - 8)^{2} - (x + 2) (x - 2)