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受欢迎的 Geometry >

solvefor x,4x^2-2m(x)^2-25x+50m(x)=0

解答

x, 4 x^{2} - 2 m (x)^{2} - 25 x + 50 m (x) = 0

解答

x = 0, x = - \frac{- 25 + 50 m}{4 - 2 m}; m \neq = 2

求解步骤

4 x^{2} - 2 m x^{2} - 25 x + 50 m (x) = 0

整理后得

4 x^{2} - 2 m x^{2} - 25 x + 50 m x = 0

改写成标准形式

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

(4 - 2 m) x^{2} + (- 25 + 50 m) x = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 25 + 50 m ) \pm ( - 25 + 50 m ) ^{2} - 4 ( 4 - 2 m ) \cdot 0}{2 ( 4 - 2 m )}

化简

(- 25 + 50 m)^{2} - 4 (4 - 2 m) \cdot 0 : 50 m - 25

x_{1, 2} = \frac{- ( - 25 + 50 m ) \pm ( 50 m - 25 )}{2 ( 4 - 2 m )}; m \neq = 2

将解分隔开

x_{1} = \frac{- ( - 25 + 50 m ) + 50 m - 25}{2 ( 4 - 2 m )}, x_{2} = \frac{- ( - 25 + 50 m ) - ( 50 m - 25 )}{2 ( 4 - 2 m )}

x = \frac{- ( - 25 + 50 m ) + 50 m - 25}{2 ( 4 - 2 m )} : 0

x = \frac{- ( - 25 + 50 m ) - ( 50 m - 25 )}{2 ( 4 - 2 m )} : - \frac{- 25 + 50 m}{4 - 2 m}

二次方程组的解是:

x = 0, x = - \frac{- 25 + 50 m}{4 - 2 m}; m \neq = 2

作图

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