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人気のある Geometry >

solvefor x,x^2-48x+640=m(x)^2

解

x, x^{2} - 48 x + 640 = m (x)^{2}

解

x = \frac{8 ( 10 m - 1 + 3 )}{1 - m}, x = \frac{8 ( - 10 m - 1 + 3 )}{1 - m}; m \neq = 1

解答ステップ

x^{2} - 48 x + 640 = m x^{2}

m x^{2}

を左側に移動します

x^{2} - 48 x + 640 - m x^{2} = 0

標準的な形式で書く

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

(1 - m) x^{2} - 48 x + 640 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 48 ) \pm ( - 48 ) ^{2} - 4 ( 1 - m ) \cdot 640}{2 ( 1 - m )}

簡素化

(- 48)^{2} - 4 (1 - m) \cdot 640 : 16 10 m - 1

x_{1, 2} = \frac{- ( - 48 ) \pm 16 10 m - 1}{2 ( 1 - m )}; m \neq = 1

解を分離する

x_{1} = \frac{- ( - 48 ) + 16 10 m - 1}{2 ( 1 - m )}, x_{2} = \frac{- ( - 48 ) - 16 10 m - 1}{2 ( 1 - m )}

x = \frac{- ( - 48 ) + 16 10 m - 1}{2 ( 1 - m )} : \frac{8 ( 10 m - 1 + 3 )}{1 - m}

x = \frac{- ( - 48 ) - 16 10 m - 1}{2 ( 1 - m )} : \frac{8 ( - 10 m - 1 + 3 )}{1 - m}

二次equationの解:

x = \frac{8 ( 10 m - 1 + 3 )}{1 - m}, x = \frac{8 ( - 10 m - 1 + 3 )}{1 - m}; m \neq = 1

グラフ

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