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受欢迎的代数 >

32-32x=(6x+4)(x-1)

解答

32 - 32 x = (6 x + 4) (x - 1)

解答

x = 1, x = - 6

求解步骤

32 - 32 x = (6 x + 4) (x - 1)

展开

(6 x + 4) (x - 1) : 6 x^{2} - 2 x - 4

32 - 32 x = 6 x^{2} - 2 x - 4

交换两边

6 x^{2} - 2 x - 4 = 32 - 32 x

将

32 x

para o lado esquerdo

6 x^{2} + 30 x - 4 = 32

将

32

para o lado esquerdo

6 x^{2} + 30 x - 36 = 0

使用求根公式求解

x_{1, 2} = \frac{- 30 \pm 3 0 ^{2} - 4 \cdot 6 ( - 36 )}{2 \cdot 6}

3 0^{2} - 4 \cdot 6 (- 36) = 42

x_{1, 2} = \frac{- 30 \pm 42}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- 30 + 42}{2 \cdot 6}, x_{2} = \frac{- 30 - 42}{2 \cdot 6}

x = \frac{- 30 + 42}{2 \cdot 6} : 1

x = \frac{- 30 - 42}{2 \cdot 6} : - 6

二次方程组的解是:

x = 1, x = - 6

作图

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