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Beliebt Algebra >

completesquare 2x^2+12x+6

Lösung

vervollständige das quadrat

2 x^{2} + 12 x + 6

Lösung

2 (x + 3)^{2} - 12

Schritte zur Lösung

2 x^{2} + 12 x + 6

Schreibe

2 x^{2} + 12 x + 6

in dieser Form:

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

Klammere aus

2

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

2 a = 6 : a = 3

Addiere und subtrahiere

3^{2}

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

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

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

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

Vereinfache

2 (x + 3)^{2} - 12

Graph

Beliebte Beispiele

solvefor x,x^2+20x+900I(x)=180x

so l v e f or x, x^{2} + 20 x + 900 I (x) = 180 x

x^{2} - 12 + 5 = 0

solvefor y,x^3+xy-5y^2=10

so l v e f or y, x^{3} + x y - 5 y^{2} = 10

- x^{2} - 7 x + 8 = 0

7 x (x - 5) = 3 (x + 1)