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+7x-15

Lösung

vervollständige das quadrat

2 x^{2} + 7 x - 15

Lösung

2 (x + \frac{7}{4})^{2} - \frac{169}{8}

Schritte zur Lösung

2 x^{2} + 7 x - 15

Schreibe

2 x^{2} + 7 x - 15

in dieser Form:

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

Klammere aus

2

2 (x^{2} + \frac{7 x}{2} - \frac{15}{2})

2 a = \frac{7}{2} : a = \frac{7}{4}

Addiere und subtrahiere

(\frac{7}{4})^{2}

2 (x^{2} + \frac{7 x}{2} - \frac{15}{2} + (\frac{7}{4})^{2} - (\frac{7}{4})^{2})

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

x^{2} + \frac{7}{2} x + (\frac{7}{4})^{2} = (x + \frac{7}{4})^{2}

2 ((x + \frac{7}{4})^{2} - \frac{15}{2} - (\frac{7}{4})^{2})

Vereinfache

2 (x + \frac{7}{4})^{2} - \frac{169}{8}

Graph

Beliebte Beispiele

x^{2} - 9 = - 8 x

u^{2} + 2 u + 1 = - 15

t^{2} - 7 t + 6 = 0

9x^2-15(x+1)=21x-15

9 x^{2} - 15 (x + 1) = 21 x - 15

25 x^{2} - 25 x + 6 = 0