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人気のある代数 >

solvefor x,g=x^2-4xg(2-x)

解

解く

x, g = x^{2} - 4 xg (2 - x)

解

x = \frac{4 g + g ( 20 g + 1 )}{1 + 4 g}, x = \frac{4 g - g ( 20 g + 1 )}{1 + 4 g}; g \neq = - \frac{1}{4}

解答ステップ

g = x^{2} - 4 xg (2 - x)

拡張

x^{2} - 4 xg (2 - x) : x^{2} - 8 xg + 4 x^{2} g

g = x^{2} - 8 xg + 4 x^{2} g

辺を交換する

x^{2} - 8 xg + 4 x^{2} g = g

g

を左側に移動します

x^{2} - 8 xg + 4 x^{2} g - g = 0

標準的な形式で書く

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

(1 + 4 g) x^{2} - 8 gx - g = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 8 g ) \pm ( - 8 g ) ^{2} - 4 ( 1 + 4 g ) ( - g )}{2 ( 1 + 4 g )}

簡素化

(- 8 g)^{2} - 4 (1 + 4 g) (- g) : 2 g (20 g + 1)

x_{1, 2} = \frac{- ( - 8 g ) \pm 2 g ( 20 g + 1 )}{2 ( 1 + 4 g )}; g \neq = - \frac{1}{4}

解を分離する

x_{1} = \frac{- ( - 8 g ) + 2 g ( 20 g + 1 )}{2 ( 1 + 4 g )}, x_{2} = \frac{- ( - 8 g ) - 2 g ( 20 g + 1 )}{2 ( 1 + 4 g )}

x = \frac{- ( - 8 g ) + 2 g ( 20 g + 1 )}{2 ( 1 + 4 g )} : \frac{4 g + g ( 20 g + 1 )}{1 + 4 g}

x = \frac{- ( - 8 g ) - 2 g ( 20 g + 1 )}{2 ( 1 + 4 g )} : \frac{4 g - g ( 20 g + 1 )}{1 + 4 g}

二次equationの解:

x = \frac{4 g + g ( 20 g + 1 )}{1 + 4 g}, x = \frac{4 g - g ( 20 g + 1 )}{1 + 4 g}; g \neq = - \frac{1}{4}

グラフ

人気の例

9 x^{2} - 16 x = 4

solvefor x,-x^2+x(1-h)=0

so l v e f or x, - x^{2} + x (1 - h) = 0

(x+1)^2=(x-7)^2+x^2

(x + 1)^{2} = (x - 7)^{2} + x^{2}

solvefor F,V=pi(r^2+F^2)

so l v e f or F, V = π (r^{2} + F^{2})

7 - 2 x^{2} = - 25