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受欢迎的代数 >

(x-1)((3-x)/2)=4

解答

(x - 1) (\frac{3 - x}{2}) = 4

解答

x = 2 - 7 i, x = 2 + 7 i

求解步骤

(x - 1) (\frac{3 - x}{2}) = 4

展开

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

2 x - \frac{x ^{2}}{2} - \frac{3}{2} = 4

将

4

para o lado esquerdo

2 x + \frac{- x ^{2} - 3}{2} - 4 = 0

改写成标准形式

a x^{2} + b x + c = 0

- \frac{x ^{2}}{2} + 2 x - \frac{3}{2} - 4 = 0

使用求根公式求解

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

化简

2^{2} - 4 (- \frac{1}{2}) (- \frac{3}{2} - 4) : 7 i

x_{1, 2} = \frac{- 2 \pm 7 i}{2 ( - \frac{1}{2} )}

将解分隔开

x_{1} = \frac{- 2 + 7 i}{2 ( - \frac{1}{2} )}, x_{2} = \frac{- 2 - 7 i}{2 ( - \frac{1}{2} )}

x = \frac{- 2 + 7 i}{2 ( - \frac{1}{2} )} : 2 - 7 i

x = \frac{- 2 - 7 i}{2 ( - \frac{1}{2} )} : 2 + 7 i

二次方程组的解是:

x = 2 - 7 i, x = 2 + 7 i

作图

流行的例子

(x - 3) (x + 1) = 0

(x - 2)^{2} + 5 = 0

6 x^{2} + 20 x + 6 = 0

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