2z^2-(15)/(z^2)+7=0

解

2 z^{2} - \frac{15}{z ^{2}} + 7 = 0

z = \frac{3}{2}, z = - \frac{3}{2}, z = 5 i, z = - 5 i

解答ステップ

2 z^{2} - \frac{15}{z ^{2}} + 7 = 0

以下で両辺を乗じる:

z^{2}

2 z^{4} - 15 + 7 z^{2} = 0

解く

2 z^{4} - 15 + 7 z^{2} = 0 : z = \frac{3}{2}, z = - \frac{3}{2}, z = 5 i, z = - 5 i

z = \frac{3}{2}, z = - \frac{3}{2}, z = 5 i, z = - 5 i

解を検算する

未定義の (特異) 点を求める:

z = 0

未定義のポイントを解に組み合わせる:

z = \frac{3}{2}, z = - \frac{3}{2}, z = 5 i, z = - 5 i