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受欢迎的代数 >

2x-4=(x+1)(2x-4)-5(x+1)

解答

2 x - 4 = (x + 1) (2 x - 4) - 5 (x + 1)

解答

x = 5, x = - \frac{1}{2}

+1

十进制

x = 5, x = - 0.5

求解步骤

2 x - 4 = (x + 1) (2 x - 4) - 5 (x + 1)

展开

(x + 1) (2 x - 4) - 5 (x + 1) : 2 x^{2} - 7 x - 9

2 x - 4 = 2 x^{2} - 7 x - 9

交换两边

2 x^{2} - 7 x - 9 = 2 x - 4

将

4

para o lado esquerdo

2 x^{2} - 7 x - 5 = 2 x

将

2 x

para o lado esquerdo

2 x^{2} - 9 x - 5 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 2 ( - 5 )}{2 \cdot 2}

(- 9)^{2} - 4 \cdot 2 (- 5) = 11

x_{1, 2} = \frac{- ( - 9 ) \pm 11}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 9 ) + 11}{2 \cdot 2}, x_{2} = \frac{- ( - 9 ) - 11}{2 \cdot 2}

x = \frac{- ( - 9 ) + 11}{2 \cdot 2} : 5

x = \frac{- ( - 9 ) - 11}{2 \cdot 2} : - \frac{1}{2}

二次方程组的解是:

x = 5, x = - \frac{1}{2}

作图

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