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Beliebt Algebra >

completesquare 3x^2+18x

Lösung

vervollständige das quadrat

3 x^{2} + 18 x

Lösung

3 (x + 3)^{2} - 27

Schritte zur Lösung

3 x^{2} + 18 x

Schreibe

3 x^{2} + 18 x

in dieser Form:

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

Klammere aus

3

3 (x^{2} + 6 x)

2 a = 6 : a = 3

Addiere und subtrahiere

3^{2}

3 (x^{2} + 6 x + 3^{2} - 3^{2})

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

x^{2} + 6 x + 3^{2} = (x + 3)^{2}

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

Vereinfache

3 (x + 3)^{2} - 27

Graph

Beliebte Beispiele

completesquare x^2+3x+2

co m pl e t es q u a re x^{2} + 3 x + 2

- 3 x^{2} = 48

w^{2} - 100 = 0

1/1000 (100x-3x^2)=0

\frac{1}{1000} (100 x - 3 x^{2}) = 0

x^2+400x+200000=0

x^{2} + 400 x + 200000 = 0