a^2=(-k^2)/(1-k)

解

a^{2} = \frac{- k ^{2}}{1 - k}

k = - \frac{- a ^{2} + a a ^{2} - 4}{2}, k = - \frac{- a ^{2} - a a ^{2} - 4}{2}

解答ステップ

a^{2} = \frac{- k ^{2}}{1 - k}

簡素化

\frac{- k ^{2}}{1 - k} : - \frac{k ^{2}}{1 - k}

a^{2} = - \frac{k ^{2}}{1 - k}

以下で両辺を乗じる:

1 - k

a^{2} (1 - k) = - k^{2}

解く

a^{2} (1 - k) = - k^{2} : k = - \frac{- a ^{2} + a a ^{2} - 4}{2}, k = - \frac{- a ^{2} - a a ^{2} - 4}{2}

k = - \frac{- a ^{2} + a a ^{2} - 4}{2}, k = - \frac{- a ^{2} - a a ^{2} - 4}{2}