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受欢迎的代数 >

11x((2(-2x+11))/5)=66

解答

11 x (\frac{2 ( - 2 x + 11 )}{5}) = 66

解答

x = \frac{5}{2}, x = 3

+1

十进制

x = 2.5, x = 3

求解步骤

11 x (\frac{2 ( - 2 x + 11 )}{5}) = 66

展开

11 x (\frac{2 ( - 2 x + 11 )}{5}) : - \frac{44 x ^{2}}{5} + \frac{242 x}{5}

- \frac{44 x ^{2}}{5} + \frac{242 x}{5} = 66

将

66

para o lado esquerdo

\frac{- 44 x ^{2} + 242 x}{5} - 66 = 0

改写成标准形式

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

- \frac{44 x ^{2}}{5} + \frac{242 x}{5} - 66 = 0

使用求根公式求解

x_{1, 2} = \frac{- \frac{242}{5} \pm ( \frac{242}{5} ) ^{2} - 4 ( - \frac{44}{5} ) ( - 66 )}{2 ( - \frac{44}{5} )}

(\frac{242}{5})^{2} - 4 (- \frac{44}{5}) (- 66) = \frac{22}{5}

x_{1, 2} = \frac{- \frac{242}{5} \pm \frac{22}{5}}{2 ( - \frac{44}{5} )}

将解分隔开

x_{1} = \frac{- \frac{242}{5} + \frac{22}{5}}{2 ( - \frac{44}{5} )}, x_{2} = \frac{- \frac{242}{5} - \frac{22}{5}}{2 ( - \frac{44}{5} )}

x = \frac{- \frac{242}{5} + \frac{22}{5}}{2 ( - \frac{44}{5} )} : \frac{5}{2}

x = \frac{- \frac{242}{5} - \frac{22}{5}}{2 ( - \frac{44}{5} )} : 3

二次方程组的解是:

x = \frac{5}{2}, x = 3

作图

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