a^2-(-(12)/a)^2=32

解

a^{2} - (- \frac{12}{a})^{2} = 32

a = 6, a = - 6, a = 2 i, a = - 2 i

解答ステップ

a^{2} - (- \frac{12}{a})^{2} = 32

簡素化

- (- \frac{12}{a})^{2} : - \frac{144}{a ^{2}}

a^{2} - \frac{144}{a ^{2}} = 32

以下で両辺を乗じる:

a^{2}

a^{4} - 144 = 32 a^{2}

解く

a^{4} - 144 = 32 a^{2} : a = 6, a = - 6, a = 2 i, a = - 2 i

a = 6, a = - 6, a = 2 i, a = - 2 i

解を検算する

未定義の (特異) 点を求める:

a = 0

未定義のポイントを解に組み合わせる:

a = 6, a = - 6, a = 2 i, a = - 2 i