de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

completesquare-4x^2-7x+9

Lösung

vervollständige das quadrat

- 4 x^{2} - 7 x + 9

Lösung

- 4 (x + \frac{7}{8})^{2} + \frac{193}{16}

Schritte zur Lösung

- 4 x^{2} - 7 x + 9

Schreibe

- 4 x^{2} - 7 x + 9

in dieser Form:

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

Klammere aus

- 4

- 4 (x^{2} + \frac{7 x}{4} - \frac{9}{4})

2 a = \frac{7}{4} : a = \frac{7}{8}

Addiere und subtrahiere

(\frac{7}{8})^{2}

- 4 (x^{2} + \frac{7 x}{4} - \frac{9}{4} + (\frac{7}{8})^{2} - (\frac{7}{8})^{2})

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

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

- 4 ((x + \frac{7}{8})^{2} - \frac{9}{4} - (\frac{7}{8})^{2})

Vereinfache

- 4 (x + \frac{7}{8})^{2} + \frac{193}{16}

Graph

Beliebte Beispiele

completesquare 2x^2+8x

co m pl e t es q u a re 2 x^{2} + 8 x

quadraticformula x^2-x-1=0

q u a d r a t i c f or m u l a x^{2} - x - 1 = 0

y^{2} + 14 y + 48 = 0

(3x+1)^2+(x+2)^2=65

(3 x + 1)^{2} + (x + 2)^{2} = 65

2 a^{2} - 5 a + 3 = 0