solvefor z,w=3z^{-2}-1/z

解

解く

z, w = 3 z^{- 2} - \frac{1}{z}

z = \frac{- 1 + 1 + 12 w}{2 w}, z = \frac{- 1 - 1 + 12 w}{2 w}; w \neq = 0

解答ステップ

w = 3 z^{- 2} - \frac{1}{z}

改良

w = \frac{3}{z ^{2}} - \frac{1}{z}

LCMで乗じる

w z^{2} = 3 - z

解く

w z^{2} = 3 - z : z = \frac{- 1 + 1 + 12 w}{2 w}, z = \frac{- 1 - 1 + 12 w}{2 w}; w \neq = 0

z = \frac{- 1 + 1 + 12 w}{2 w}, z = \frac{- 1 - 1 + 12 w}{2 w}; w \neq = 0