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 >

(2x-1)^2-(x-3)(x+5)=(2x+3)(2x-3)

解答

(2 x - 1)^{2} - (x - 3) (x + 5) = (2 x + 3) (2 x - 3)

解答

x = - 3 - 34, x = 34 - 3

+1

十进制

x = - 8.83095 \dots, x = 2.83095 \dots

求解步骤

(2 x - 1)^{2} - (x - 3) (x + 5) = (2 x + 3) (2 x - 3)

展开

(2 x - 1)^{2} - (x - 3) (x + 5) : 3 x^{2} - 6 x + 16

展开

(2 x + 3) (2 x - 3) : 4 x^{2} - 9

3 x^{2} - 6 x + 16 = 4 x^{2} - 9

将

9

para o lado esquerdo

3 x^{2} - 6 x + 25 = 4 x^{2}

将

4 x^{2}

para o lado esquerdo

- x^{2} - 6 x + 25 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 ( - 1 ) \cdot 25}{2 ( - 1 )}

(- 6)^{2} - 4 (- 1) \cdot 25 = 234

x_{1, 2} = \frac{- ( - 6 ) \pm 2 34}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- ( - 6 ) + 2 34}{2 ( - 1 )}, x_{2} = \frac{- ( - 6 ) - 2 34}{2 ( - 1 )}

x = \frac{- ( - 6 ) + 2 34}{2 ( - 1 )} : - 3 - 34

x = \frac{- ( - 6 ) - 2 34}{2 ( - 1 )} : 34 - 3

二次方程组的解是:

x = - 3 - 34, x = 34 - 3

作图

流行的例子

3 x^{2} + 7 x + 5 = 3 x + 4

solvefor x,3yx^2-x^2+3=0

so l v e f or x, 3 y x^{2} - x^{2} + 3 = 0

x^{2} + 8 x + 8 + 8 = 0

solvefor x,x^2+y^2=10x-6y-34

so l v e f or x, x^{2} + y^{2} = 10 x - 6 y - 34

(x - 6) (x + 2) = 9