de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

completesquare-2x^2-4x+7

Lösung

vervollständige das quadrat

- 2 x^{2} - 4 x + 7

Lösung

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

Schritte zur Lösung

- 2 x^{2} - 4 x + 7

Schreibe

- 2 x^{2} - 4 x + 7

in dieser Form:

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

Klammere aus

- 2

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

2 a = 2 : a = 1

Addiere und subtrahiere

1^{2}

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

Vereinfache

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

Graph

Beliebte Beispiele

3 x^{2} + 12 x - 7 = 0

-5z^2+9z+13=-6z^2

- 5 z^{2} + 9 z + 13 = - 6 z^{2}

9 n^{2} + 4 n - 4 = 0

(3x-3)(6x-12)=0

(3 x - 3) (6 x - 12) = 0

18 x^{2} - 98 = 0