de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

completesquare x^2-6/7 x+2

Lösung

vervollständige das quadrat

x^{2} - \frac{6}{7} x + 2

Lösung

(x - \frac{3}{7})^{2} + \frac{89}{49}

Schritte zur Lösung

x^{2} - \frac{6}{7} x + 2

Schreibe in der Standard Form

a x^{2} + b x + c

x^{2} - \frac{6 x}{7} + 2

Schreibe

x^{2} - \frac{6 x}{7} + 2

in dieser Form:

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

2 a = - \frac{6}{7} : a = - \frac{3}{7}

Addiere und subtrahiere

(- \frac{3}{7})^{2}

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

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

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

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

Vereinfache

(x - \frac{3}{7})^{2} + \frac{89}{49}

Graph

Beliebte Beispiele

solvefor x,x^2-2xy+3y^2=4

so l v e f or x, x^{2} - 2 x y + 3 y^{2} = 4

y^{2} - 2 y = 15

completesquare x^2+4x-21=0

co m pl e t es q u a re x^{2} + 4 x - 21 = 0

0 = (x - 2) (x + 4)

solvefor x,x^2-10x+25=0

so l v e f or x, x^{2} - 10 x + 25 = 0