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人気のある代数 >

(m-3)x^2+4m-3x=mx-1

解

(m - 3) x^{2} + 4 m - 3 x = m x - 1

解

x = \frac{3 + m + - 15 m ^{2} + 50 m + 21}{2 ( m - 3 )}, x = \frac{3 + m - - 15 m ^{2} + 50 m + 21}{2 ( m - 3 )}; m \neq = 3

解答ステップ

(m - 3) x^{2} + 4 m - 3 x = m x - 1

1

を左側に移動します

(m - 3) x^{2} + 4 m - 3 x + 1 = m x

m x

を左側に移動します

(m - 3) x^{2} + 4 m - 3 x + 1 - m x = 0

標準的な形式で書く

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

(m - 3) x^{2} - (3 + m) x + 4 m + 1 = 0

解くとthe二次式

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

簡素化

(- 3 - m)^{2} - 4 (m - 3) (4 m + 1) : - 15 m^{2} + 50 m + 21

x_{1, 2} = \frac{- ( - 3 - m ) \pm - 15 m ^{2} + 50 m + 21}{2 ( m - 3 )}; m \neq = 3

解を分離する

x_{1} = \frac{- ( - 3 - m ) + - 15 m ^{2} + 50 m + 21}{2 ( m - 3 )}, x_{2} = \frac{- ( - 3 - m ) - - 15 m ^{2} + 50 m + 21}{2 ( m - 3 )}

x = \frac{- ( - 3 - m ) + - 15 m ^{2} + 50 m + 21}{2 ( m - 3 )} : \frac{3 + m + - 15 m ^{2} + 50 m + 21}{2 ( m - 3 )}

x = \frac{- ( - 3 - m ) - - 15 m ^{2} + 50 m + 21}{2 ( m - 3 )} : \frac{3 + m - - 15 m ^{2} + 50 m + 21}{2 ( m - 3 )}

二次equationの解:

x = \frac{3 + m + - 15 m ^{2} + 50 m + 21}{2 ( m - 3 )}, x = \frac{3 + m - - 15 m ^{2} + 50 m + 21}{2 ( m - 3 )}; m \neq = 3

グラフ

人気の例

\frac{x ^{2} - 6}{4} = 0

x + 1 = x^{2} - 1

-x^2-2x-3=-2x^2

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

4 d^{2} + d + 1 = - 3 d

(x - 16)^{2} = 256