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人気のある代数 >

solvefor x,f=(3m-1)x^2-mx+m

解

解く

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

解

x = \frac{m + - 11 m ^{2} + 12 m f + 4 m - 4 f}{2 ( 3 m - 1 )}, x = \frac{m - - 11 m ^{2} + 12 m f + 4 m - 4 f}{2 ( 3 m - 1 )}; m \neq = \frac{1}{3}

解答ステップ

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

辺を交換する

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

f

を左側に移動します

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

解くとthe二次式

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

簡素化

(- m)^{2} - 4 (3 m - 1) (m - f) : - 11 m^{2} + 12 m f + 4 m - 4 f

x_{1, 2} = \frac{- ( - m ) \pm - 11 m ^{2} + 12 m f + 4 m - 4 f}{2 ( 3 m - 1 )}; m \neq = \frac{1}{3}

解を分離する

x_{1} = \frac{- ( - m ) + - 11 m ^{2} + 12 m f + 4 m - 4 f}{2 ( 3 m - 1 )}, x_{2} = \frac{- ( - m ) - - 11 m ^{2} + 12 m f + 4 m - 4 f}{2 ( 3 m - 1 )}

x = \frac{- ( - m ) + - 11 m ^{2} + 12 m f + 4 m - 4 f}{2 ( 3 m - 1 )} : \frac{m + - 11 m ^{2} + 12 m f + 4 m - 4 f}{2 ( 3 m - 1 )}

x = \frac{- ( - m ) - - 11 m ^{2} + 12 m f + 4 m - 4 f}{2 ( 3 m - 1 )} : \frac{m - - 11 m ^{2} + 12 m f + 4 m - 4 f}{2 ( 3 m - 1 )}

二次equationの解:

x = \frac{m + - 11 m ^{2} + 12 m f + 4 m - 4 f}{2 ( 3 m - 1 )}, x = \frac{m - - 11 m ^{2} + 12 m f + 4 m - 4 f}{2 ( 3 m - 1 )}; m \neq = \frac{1}{3}

グラフ

人気の例

20 x^{2} + 3920 = 0

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