de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

completesquare 3x^2-x-3

Lösung

vervollständige das quadrat

3 x^{2} - x - 3

Lösung

3 (x - \frac{1}{6})^{2} - \frac{37}{12}

Schritte zur Lösung

3 x^{2} - x - 3

Schreibe

3 x^{2} - x - 3

in dieser Form:

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

Klammere aus

3

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

2 a = - \frac{1}{3} : a = - \frac{1}{6}

Addiere und subtrahiere

(- \frac{1}{6})^{2}

3 (x^{2} - \frac{x}{3} - 1 + (- \frac{1}{6})^{2} - (- \frac{1}{6})^{2})

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

x^{2} - \frac{1}{3} x + (- \frac{1}{6})^{2} = (x - \frac{1}{6})^{2}

3 ((x - \frac{1}{6})^{2} - 1 - (- \frac{1}{6})^{2})

Vereinfache

3 (x - \frac{1}{6})^{2} - \frac{37}{12}

Graph

Beliebte Beispiele

- x^{2} - 6 x - 10 = 0

(x+1)^2=(x+2)^2+(x+3)^2

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

6 = y^{2} - 5 y

25 + x^{2} = 169

(x + 1)^{2} + 3 = 0