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人気のある代数 >

(4x+4)(ax-1)-x^2+4=bx

解

(4 x + 4) (a x - 1) - x^{2} + 4 = b x

解

x = 0, x = - \frac{4 a - 4 - b}{4 a - 1}; a \neq = \frac{1}{4}

解答ステップ

(4 x + 4) (a x - 1) - x^{2} + 4 = b x

拡張

(4 x + 4) (a x - 1) - x^{2} + 4 : 4 a x^{2} - x^{2} + 4 a x - 4 x

4 a x^{2} - x^{2} + 4 a x - 4 x = b x

b x

を左側に移動します

4 a x^{2} - x^{2} + 4 a x - 4 x - b x = 0

標準的な形式で書く

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

(4 a - 1) x^{2} + (4 a - 4 - b) x = 0

解くとthe二次式

x_{1, 2} = \frac{- ( 4 a - 4 - b ) \pm ( 4 a - 4 - b ) ^{2} - 4 ( 4 a - 1 ) \cdot 0}{2 ( 4 a - 1 )}

簡素化

(4 a - 4 - b)^{2} - 4 (4 a - 1) \cdot 0 : 4 a - b - 4

x_{1, 2} = \frac{- ( 4 a - 4 - b ) \pm ( 4 a - b - 4 )}{2 ( 4 a - 1 )}; a \neq = \frac{1}{4}

解を分離する

x_{1} = \frac{- ( 4 a - 4 - b ) + 4 a - b - 4}{2 ( 4 a - 1 )}, x_{2} = \frac{- ( 4 a - 4 - b ) - ( 4 a - b - 4 )}{2 ( 4 a - 1 )}

x = \frac{- ( 4 a - 4 - b ) + 4 a - b - 4}{2 ( 4 a - 1 )} : 0

x = \frac{- ( 4 a - 4 - b ) - ( 4 a - b - 4 )}{2 ( 4 a - 1 )} : - \frac{4 a - 4 - b}{4 a - 1}

二次equationの解:

x = 0, x = - \frac{4 a - 4 - b}{4 a - 1}; a \neq = \frac{1}{4}

グラフ

人気の例

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