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 >

(5sqrt(x^2+x))^2=(3x+3)^2

解答

(5 x^{2} + x)^{2} = (3 x + 3)^{2}

解答

x = - 1, x = \frac{9}{16}

+1

十进制

x = - 1, x = 0.5625

求解步骤

(5 x^{2} + x)^{2} = (3 x + 3)^{2}

展开

(5 x^{2} + x)^{2} : 25 x^{2} + 25 x

展开

(3 x + 3)^{2} : 9 x^{2} + 18 x + 9

25 x^{2} + 25 x = 9 x^{2} + 18 x + 9

交换两边

9 x^{2} + 18 x + 9 = 25 x^{2} + 25 x

将

25 x

para o lado esquerdo

9 x^{2} - 7 x + 9 = 25 x^{2}

将

25 x^{2}

para o lado esquerdo

- 16 x^{2} - 7 x + 9 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 ( - 16 ) \cdot 9}{2 ( - 16 )}

(- 7)^{2} - 4 (- 16) \cdot 9 = 25

x_{1, 2} = \frac{- ( - 7 ) \pm 25}{2 ( - 16 )}

将解分隔开

x_{1} = \frac{- ( - 7 ) + 25}{2 ( - 16 )}, x_{2} = \frac{- ( - 7 ) - 25}{2 ( - 16 )}

x = \frac{- ( - 7 ) + 25}{2 ( - 16 )} : - 1

x = \frac{- ( - 7 ) - 25}{2 ( - 16 )} : \frac{9}{16}

二次方程组的解是:

x = - 1, x = \frac{9}{16}

作图

流行的例子

solvefor x,x^2+y^2-6x-8y=-25

so l v e f or x, x^{2} + y^{2} - 6 x - 8 y = - 25

completesquare x-x^2

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

(x - 1) (x - 3) = - 1

6 a^{2} - 4 a - 22 = 0

solvefor x,3x^2+2xy+y^2=1

so l v e f or x, 3 x^{2} + 2 x y + y^{2} = 1