de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

completesquare 6x^2+84x+284

Lösung

vervollständige das quadrat

6 x^{2} + 84 x + 284

Lösung

6 (x + 7)^{2} - 10

Schritte zur Lösung

6 x^{2} + 84 x + 284

Schreibe

6 x^{2} + 84 x + 284

in dieser Form:

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

Klammere aus

6

6 (x^{2} + 14 x + \frac{142}{3})

2 a = 14 : a = 7

Addiere und subtrahiere

7^{2}

6 (x^{2} + 14 x + \frac{142}{3} + 7^{2} - 7^{2})

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

x^{2} + 14 x + 7^{2} = (x + 7)^{2}

6 ((x + 7)^{2} + \frac{142}{3} - 7^{2})

Vereinfache

6 (x + 7)^{2} - 10

Graph

Beliebte Beispiele

solvefor x,(x+y)^2-1=0

so l v e f or x, (x + y)^{2} - 1 = 0

solvefor x,x^2-kx+1681=0s

so l v e f or x, x^{2} - k x + 1681 = 0 s

(2x+3)*(3x-1)=-4

(2 x + 3) \cdot (3 x - 1) = - 4

(5 w - 1) (w + 3) = 0

2 x^{2} + 6 x + 2 = 4