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人気のある Geometry >

solvefor x,2x^2-28x+196=r(x)^2

解

解く

x, 2 x^{2} - 28 x + 196 = r (x)^{2}

解

x = \frac{14 ( r - 1 + 1 )}{2 - r}, x = \frac{14 ( - r - 1 + 1 )}{2 - r}; r \neq = 2

解答ステップ

2 x^{2} - 28 x + 196 = r x^{2}

r x^{2}

を左側に移動します

2 x^{2} - 28 x + 196 - r x^{2} = 0

標準的な形式で書く

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

(2 - r) x^{2} - 28 x + 196 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 28 ) \pm ( - 28 ) ^{2} - 4 ( 2 - r ) \cdot 196}{2 ( 2 - r )}

簡素化

(- 28)^{2} - 4 (2 - r) \cdot 196 : 28 r - 1

x_{1, 2} = \frac{- ( - 28 ) \pm 28 r - 1}{2 ( 2 - r )}; r \neq = 2

解を分離する

x_{1} = \frac{- ( - 28 ) + 28 r - 1}{2 ( 2 - r )}, x_{2} = \frac{- ( - 28 ) - 28 r - 1}{2 ( 2 - r )}

x = \frac{- ( - 28 ) + 28 r - 1}{2 ( 2 - r )} : \frac{14 ( r - 1 + 1 )}{2 - r}

x = \frac{- ( - 28 ) - 28 r - 1}{2 ( 2 - r )} : \frac{14 ( - r - 1 + 1 )}{2 - r}

二次equationの解:

x = \frac{14 ( r - 1 + 1 )}{2 - r}, x = \frac{14 ( - r - 1 + 1 )}{2 - r}; r \neq = 2

グラフ

人気の例

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