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+3x=x(2x-2)

解答

4 x^{2} + 3 x = x (2 x - 2)

解答

x = 0, x = - \frac{5}{2}

+1

十进制

x = 0, x = - 2.5

求解步骤

4 x^{2} + 3 x = x (2 x - 2)

展开

x (2 x - 2) : 2 x^{2} - 2 x

4 x^{2} + 3 x = 2 x^{2} - 2 x

将

2 x

para o lado esquerdo

4 x^{2} + 5 x = 2 x^{2}

将

2 x^{2}

para o lado esquerdo

2 x^{2} + 5 x = 0

两边除以

2

\frac{2 x ^{2} + 5 x}{2} = \frac{0}{2}

x^{2} + \frac{5 x}{2} = 0

改写为形式

(x + a)^{2} = b

(x + \frac{5}{4})^{2} = \frac{25}{16}

若

f^{2} (x) = a

，解为

f (x) = a, - a

解

x + \frac{5}{4} = \frac{25}{16} : x = 0

解

x + \frac{5}{4} = - \frac{25}{16} : x = - \frac{5}{2}

二次方程组的解是:

x = 0, x = - \frac{5}{2}

作图

流行的例子

(x - 6) (2 x + 1) = 0

12 x = - 4 x^{2}

x^2-2ax+a^2+b^2=0

x^{2} - 2 a x + a^{2} + b^{2} = 0

x^{2} + 15 x = - 57

5 y^{2} = - 25 y