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受欢迎的代数 >

(m-2)x^2-(m+7)x+2(9m+1)=0

解答

(m - 2) x^{2} - (m + 7) x + 2 (9 m + 1) = 0

解答

x = \frac{m + 7 + - 71 m ^{2} + 150 m + 65}{2 ( m - 2 )}, x = \frac{m + 7 - - 71 m ^{2} + 150 m + 65}{2 ( m - 2 )}; m \neq = 2

求解步骤

(m - 2) x^{2} - (m + 7) x + 2 (9 m + 1) = 0

展开

(m - 2) x^{2} - (m + 7) x + 2 (9 m + 1) : m x^{2} - 2 x^{2} - m x - 7 x + 18 m + 2

m x^{2} - 2 x^{2} - m x - 7 x + 18 m + 2 = 0

改写成标准形式

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

(m - 2) x^{2} - (m + 7) x + 18 m + 2 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - m - 7 ) \pm ( - m - 7 ) ^{2} - 4 ( m - 2 ) ( 18 m + 2 )}{2 ( m - 2 )}

化简

(- m - 7)^{2} - 4 (m - 2) (18 m + 2) : - 71 m^{2} + 150 m + 65

x_{1, 2} = \frac{- ( - m - 7 ) \pm - 71 m ^{2} + 150 m + 65}{2 ( m - 2 )}; m \neq = 2

将解分隔开

x_{1} = \frac{- ( - m - 7 ) + - 71 m ^{2} + 150 m + 65}{2 ( m - 2 )}, x_{2} = \frac{- ( - m - 7 ) - - 71 m ^{2} + 150 m + 65}{2 ( m - 2 )}

x = \frac{- ( - m - 7 ) + - 71 m ^{2} + 150 m + 65}{2 ( m - 2 )} : \frac{m + 7 + - 71 m ^{2} + 150 m + 65}{2 ( m - 2 )}

x = \frac{- ( - m - 7 ) - - 71 m ^{2} + 150 m + 65}{2 ( m - 2 )} : \frac{m + 7 - - 71 m ^{2} + 150 m + 65}{2 ( m - 2 )}

二次方程组的解是:

x = \frac{m + 7 + - 71 m ^{2} + 150 m + 65}{2 ( m - 2 )}, x = \frac{m + 7 - - 71 m ^{2} + 150 m + 65}{2 ( m - 2 )}; m \neq = 2

作图

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