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受欢迎的代数 >

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

解答

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

解答

x = 0, x = 1

求解步骤

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

展开

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

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

将

2

para o lado esquerdo

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

使用求根公式求解

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

2^{2} - 4 (- 2) \cdot 0 = 2

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

将解分隔开

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

x = \frac{- 2 + 2}{2 ( - 2 )} : 0

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

二次方程组的解是:

x = 0, x = 1

作图

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