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+3x+6

Lösung

vervollständige das quadrat

2 x^{2} + 3 x + 6

Lösung

2 (x + \frac{3}{4})^{2} + \frac{39}{8}

Schritte zur Lösung

2 x^{2} + 3 x + 6

Schreibe

2 x^{2} + 3 x + 6

in dieser Form:

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

Klammere aus

2

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

2 a = \frac{3}{2} : a = \frac{3}{4}

Addiere und subtrahiere

(\frac{3}{4})^{2}

2 (x^{2} + \frac{3 x}{2} + 3 + (\frac{3}{4})^{2} - (\frac{3}{4})^{2})

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

x^{2} + \frac{3}{2} x + (\frac{3}{4})^{2} = (x + \frac{3}{4})^{2}

2 ((x + \frac{3}{4})^{2} + 3 - (\frac{3}{4})^{2})

Vereinfache

2 (x + \frac{3}{4})^{2} + \frac{39}{8}

Graph

Beliebte Beispiele

x^{2} - x - 20 = - x

(x-6)(x+6)-(x-3)2=0

(x - 6) (x + 6) - (x - 3) 2 = 0

0.2x^2-0.5x-7=0

0.2 x^{2} - 0.5 x - 7 = 0

13 x - 36 = x^{2}

solvefor x,2x^2+y^2=C

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