(m-2)x^2-2mx+2m-3=0

解

(m - 2) x^{2} - 2 m x + 2 m - 3 = 0

x = \frac{m + - m ^{2} + 7 m - 6}{m - 2}, x = \frac{m - - m ^{2} + 7 m - 6}{m - 2}; m \neq = 2

解答ステップ

(m - 2) x^{2} - 2 m x + 2 m - 3 = 0

解くとthe二次式

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

簡素化

(- 2 m)^{2} - 4 (m - 2) (2 m - 3) : 2 - m^{2} + 7 m - 6

x_{1, 2} = \frac{- ( - 2 m ) \pm 2 - m ^{2} + 7 m - 6}{2 ( m - 2 )}; m \neq = 2

解を分離する

x_{1} = \frac{- ( - 2 m ) + 2 - m ^{2} + 7 m - 6}{2 ( m - 2 )}, x_{2} = \frac{- ( - 2 m ) - 2 - m ^{2} + 7 m - 6}{2 ( m - 2 )}

x = \frac{- ( - 2 m ) + 2 - m ^{2} + 7 m - 6}{2 ( m - 2 )} : \frac{m + - m ^{2} + 7 m - 6}{m - 2}

x = \frac{- ( - 2 m ) - 2 - m ^{2} + 7 m - 6}{2 ( m - 2 )} : \frac{m - - m ^{2} + 7 m - 6}{m - 2}

二次equationの解:

x = \frac{m + - m ^{2} + 7 m - 6}{m - 2}, x = \frac{m - - m ^{2} + 7 m - 6}{m - 2}; m \neq = 2