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受欢迎的代数 >

-(x-4)(2x+3)=2(4x+5)

解答

- (x - 4) (2 x + 3) = 2 (4 x + 5)

解答

x = - 2, x = \frac{1}{2}

+1

十进制

x = - 2, x = 0.5

求解步骤

- (x - 4) (2 x + 3) = 2 (4 x + 5)

展开

- (x - 4) (2 x + 3) : - 2 x^{2} + 5 x + 12

展开

2 (4 x + 5) : 8 x + 10

- 2 x^{2} + 5 x + 12 = 8 x + 10

将

10

para o lado esquerdo

- 2 x^{2} + 5 x + 2 = 8 x

将

8 x

para o lado esquerdo

- 2 x^{2} - 3 x + 2 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 ( - 2 ) \cdot 2}{2 ( - 2 )}

(- 3)^{2} - 4 (- 2) \cdot 2 = 5

x_{1, 2} = \frac{- ( - 3 ) \pm 5}{2 ( - 2 )}

将解分隔开

x_{1} = \frac{- ( - 3 ) + 5}{2 ( - 2 )}, x_{2} = \frac{- ( - 3 ) - 5}{2 ( - 2 )}

x = \frac{- ( - 3 ) + 5}{2 ( - 2 )} : - 2

x = \frac{- ( - 3 ) - 5}{2 ( - 2 )} : \frac{1}{2}

二次方程组的解是:

x = - 2, x = \frac{1}{2}

作图

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