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Beliebt Algebra >

completesquare-3x^2-6x+7

Lösung

vervollständige das quadrat

- 3 x^{2} - 6 x + 7

Lösung

- 3 (x + 1)^{2} + 10

Schritte zur Lösung

- 3 x^{2} - 6 x + 7

Schreibe

- 3 x^{2} - 6 x + 7

in dieser Form:

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

Klammere aus

- 3

- 3 (x^{2} + 2 x - \frac{7}{3})

2 a = 2 : a = 1

Addiere und subtrahiere

1^{2}

- 3 (x^{2} + 2 x - \frac{7}{3} + 1^{2} - 1^{2})

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

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

- 3 ((x + 1)^{2} - \frac{7}{3} - 1^{2})

Vereinfache

- 3 (x + 1)^{2} + 10

Graph

Beliebte Beispiele

- 5 + x^{2} = - 4 x

9^{2} + 4^{2} = c^{2}

x^{2} + 9 x^{2} - x - 9 = 0

solvefor x,9x^2+y^2-9z^2-54x-4y-54z+4=0

so l v e f or x, 9 x^{2} + y^{2} - 9 z^{2} - 54 x - 4 y - 54 z + 4 = 0

3 x^{2} + 11 x - 7 = 0