zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

completesquare 4x^2-x-8

解答

配方

4 x^{2} - x - 8

解答

4 (x - \frac{1}{8})^{2} - \frac{129}{16}

求解步骤

4 x^{2} - x - 8

将

4 x^{2} - x - 8

改写为如下形式:

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

因式分解

4

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

2 a = - \frac{1}{4} : a = - \frac{1}{8}

加和减

(- \frac{1}{8})^{2}

4 (x^{2} - \frac{x}{4} - 2 + (- \frac{1}{8})^{2} - (- \frac{1}{8})^{2})

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

x^{2} - \frac{1}{4} x + (- \frac{1}{8})^{2} = (x - \frac{1}{8})^{2}

4 ((x - \frac{1}{8})^{2} - 2 - (- \frac{1}{8})^{2})

化简

4 (x - \frac{1}{8})^{2} - \frac{129}{16}

作图

流行的例子

(x + 6) (x - 1) = - 10

completesquare 4x^2+2x+5

co m pl e t es q u a re 4 x^{2} + 2 x + 5

5x^2+31623x+50=0

5 x^{2} + 31623 x + 50 = 0

-4.9t^2+18t+7.4=0

- 4.9 t^{2} + 18 t + 7.4 = 0

4 (x + 5)^{2} + 6 = 54