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人気のある代数 >

solvefor y,m=y^2-y 1/(x^2)-x^1

解

解く

y, m = y^{2} - y \frac{1}{x ^{2}} - x^{1}

解

y = \frac{1 + 1 - 4 x ^{4} ( - x - m )}{2 x ^{2}}, y = \frac{1 - 1 - 4 x ^{4} ( - x - m )}{2 x ^{2}}

解答ステップ

m = y^{2} - y \frac{1}{x ^{2}} - x^{1}

拡張

y^{2} - y \frac{1}{x ^{2}} - x^{1} : y^{2} - \frac{y}{x ^{2}} - x

m = y^{2} - \frac{y}{x ^{2}} - x

辺を交換する

y^{2} - \frac{y}{x ^{2}} - x = m

m

を左側に移動します

y^{2} - \frac{y}{x ^{2}} - x - m = 0

解くとthe二次式

y_{1, 2} = \frac{- ( - \frac{1}{x ^{2}} ) \pm ( - \frac{1}{x ^{2}} ) ^{2} - 4 \cdot 1 \cdot ( - x - m )}{2 \cdot 1}

簡素化

(- \frac{1}{x ^{2}})^{2} - 4 \cdot 1 \cdot (- x - m) : \frac{1 - 4 x ^{4} ( - x - m )}{x ^{2}}

y_{1, 2} = \frac{- ( - \frac{1}{x ^{2}} ) \pm \frac{1 - 4 x ^{4} ( - x - m )}{x ^{2}}}{2 \cdot 1}

解を分離する

y_{1} = \frac{- ( - \frac{1}{x ^{2}} ) + \frac{1 - 4 x ^{4} ( - x - m )}{x ^{2}}}{2 \cdot 1}, y_{2} = \frac{- ( - \frac{1}{x ^{2}} ) - \frac{1 - 4 x ^{4} ( - x - m )}{x ^{2}}}{2 \cdot 1}

y = \frac{- ( - \frac{1}{x ^{2}} ) + \frac{1 - 4 x ^{4} ( - x - m )}{x ^{2}}}{2 \cdot 1} : \frac{1 + 1 - 4 x ^{4} ( - x - m )}{2 x ^{2}}

y = \frac{- ( - \frac{1}{x ^{2}} ) - \frac{1 - 4 x ^{4} ( - x - m )}{x ^{2}}}{2 \cdot 1} : \frac{1 - 1 - 4 x ^{4} ( - x - m )}{2 x ^{2}}

二次equationの解:

y = \frac{1 + 1 - 4 x ^{4} ( - x - m )}{2 x ^{2}}, y = \frac{1 - 1 - 4 x ^{4} ( - x - m )}{2 x ^{2}}

グラフ

人気の例

r^{2} - 8 r + 15 = 0

1100-x^2=300+x^2

1100 - x^{2} = 300 + x^{2}

120 = 5 (t)^{2}

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x^{2} + 16 x = 5