de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

completesquare x-x^2

Lösung

vervollständige das quadrat

x - x^{2}

Lösung

- (x - \frac{1}{2})^{2} + \frac{1}{4}

Schritte zur Lösung

x - x^{2}

Schreibe in der Standard Form

a x^{2} + b x + c

- x^{2} + x

Schreibe

- x^{2} + x

in dieser Form:

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

Klammere aus

- 1

- (x^{2} - x)

2 a = - 1 : a = - \frac{1}{2}

Addiere und subtrahiere

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

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

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

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

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

Vereinfache

- (x - \frac{1}{2})^{2} + \frac{1}{4}

Graph

Beliebte Beispiele

(x - 1) (x - 3) = - 1

6 a^{2} - 4 a - 22 = 0

solvefor x,3x^2+2xy+y^2=1

so l v e f or x, 3 x^{2} + 2 x y + y^{2} = 1

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

- x^{2} + 12 x - 32 = 0