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+5x-2

Lösung

vervollständige das quadrat

3 x^{2} + 5 x - 2

Lösung

3 (x + \frac{5}{6})^{2} - \frac{49}{12}

Schritte zur Lösung

3 x^{2} + 5 x - 2

Schreibe

3 x^{2} + 5 x - 2

in dieser Form:

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

Klammere aus

3

3 (x^{2} + \frac{5 x}{3} - \frac{2}{3})

2 a = \frac{5}{3} : a = \frac{5}{6}

Addiere und subtrahiere

(\frac{5}{6})^{2}

3 (x^{2} + \frac{5 x}{3} - \frac{2}{3} + (\frac{5}{6})^{2} - (\frac{5}{6})^{2})

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

x^{2} + \frac{5}{3} x + (\frac{5}{6})^{2} = (x + \frac{5}{6})^{2}

3 ((x + \frac{5}{6})^{2} - \frac{2}{3} - (\frac{5}{6})^{2})

Vereinfache

3 (x + \frac{5}{6})^{2} - \frac{49}{12}

Graph

Beliebte Beispiele

- t^{2} - 1 = 0

d^{2} + (- 5) = - 2

u^{2} = - 5

completesquare 4x^2-4x+5

co m pl e t es q u a re 4 x^{2} - 4 x + 5

u^{2} = 20