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Beliebt Algebra >

completesquare-2x^2-4x+1

Lösung

vervollständige das quadrat

- 2 x^{2} - 4 x + 1

Lösung

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

Schritte zur Lösung

- 2 x^{2} - 4 x + 1

Schreibe

- 2 x^{2} - 4 x + 1

in dieser Form:

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

Klammere aus

- 2

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

2 a = 2 : a = 1

Addiere und subtrahiere

1^{2}

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

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

2 x^{2} + 6 x - 15 = 0

solvefor x,4x^2+4xy+3y^3=77

so l v e f or x, 4 x^{2} + 4 x y + 3 y^{3} = 77

5 s^{2} - s + 1 = 0

- 2 x^{2} + x = 6

solvefor x,y=In(x^2+3)

so l v e f or x, y = I n (x^{2} + 3)