(n^2)/(y^2)+(y^2)/(n^2)=223

解

\frac{n ^{2}}{y ^{2}} + \frac{y ^{2}}{n ^{2}} = 223

y = \frac{223 n ^{2} + 15 221 n ^{2}}{2}, y = - \frac{223 n ^{2} + 15 221 n ^{2}}{2}, y = \frac{223 n ^{2} - 15 221 n ^{2}}{2}, y = - \frac{223 n ^{2} - 15 221 n ^{2}}{2}

解答ステップ

\frac{n ^{2}}{y ^{2}} + \frac{y ^{2}}{n ^{2}} = 223

以下で両辺を乗じる:

y^{2}

n^{2} + \frac{y ^{4}}{n ^{2}} = 223 y^{2}

解く

n^{2} + \frac{y ^{4}}{n ^{2}} = 223 y^{2} : y = \frac{223 n ^{2} + 15 221 n ^{2}}{2}, y = - \frac{223 n ^{2} + 15 221 n ^{2}}{2}, y = \frac{223 n ^{2} - 15 221 n ^{2}}{2}, y = - \frac{223 n ^{2} - 15 221 n ^{2}}{2}

y = \frac{223 n ^{2} + 15 221 n ^{2}}{2}, y = - \frac{223 n ^{2} + 15 221 n ^{2}}{2}, y = \frac{223 n ^{2} - 15 221 n ^{2}}{2}, y = - \frac{223 n ^{2} - 15 221 n ^{2}}{2}