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人気のある代数 >

solvefor x,(m^2x)(mx-1)=m^2x+5

解

x, (m^{2} x) (m x - 1) = m^{2} x + 5

解

x = \frac{m + m ( m + 5 )}{m ^{2}}, x = \frac{m - m ( m + 5 )}{m ^{2}}; m \neq = 0

解答ステップ

(m^{2} x) (m x - 1) = m^{2} x + 5

拡張

(m^{2} x) (m x - 1) : m^{3} x^{2} - m^{2} x

m^{3} x^{2} - m^{2} x = m^{2} x + 5

5

を左側に移動します

m^{3} x^{2} - m^{2} x - 5 = m^{2} x

m^{2} x

を左側に移動します

m^{3} x^{2} - 2 m^{2} x - 5 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 2 m ^{2} ) \pm ( - 2 m ^{2} ) ^{2} - 4 m ^{3} ( - 5 )}{2 m ^{3}}

簡素化

(- 2 m^{2})^{2} - 4 m^{3} (- 5) : 2 m m (m + 5)

x_{1, 2} = \frac{- ( - 2 m ^{2} ) \pm 2 m m ( m + 5 )}{2 m ^{3}}; m \neq = 0

解を分離する

x_{1} = \frac{- ( - 2 m ^{2} ) + 2 m m ( m + 5 )}{2 m ^{3}}, x_{2} = \frac{- ( - 2 m ^{2} ) - 2 m m ( m + 5 )}{2 m ^{3}}

x = \frac{- ( - 2 m ^{2} ) + 2 m m ( m + 5 )}{2 m ^{3}} : \frac{m + m ( m + 5 )}{m ^{2}}

x = \frac{- ( - 2 m ^{2} ) - 2 m m ( m + 5 )}{2 m ^{3}} : \frac{m - m ( m + 5 )}{m ^{2}}

二次equationの解:

x = \frac{m + m ( m + 5 )}{m ^{2}}, x = \frac{m - m ( m + 5 )}{m ^{2}}; m \neq = 0

グラフ

人気の例

n^{2} - 6 n - 16 = 0

x^{2} = 3^{2} + 2^{2}

x^{2} - \frac{1}{2} = 0

4000=-5x^2+400x-2550

4000 = - 5 x^{2} + 400 x - 2550

completesquare x^2+2x-12=0

co m pl e t es q u a re x^{2} + 2 x - 12 = 0