What is the answer to (n^2)/(y^2)+(y^2)/(n^2)=223 ?

The answer to (n^2)/(y^2)+(y^2)/(n^2)=223 is

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

\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}

Solution steps

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

Multiply both sides by

y^{2}

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

Solve

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}

x, \frac{2}{x} + \frac{3}{y} = 1

\frac{x}{( x ^{2} + 1 )} + \frac{( x ^{2} + 1 )}{x} = \frac{5}{2}

\frac{x}{( x - 1 )} + \frac{( x - 1 )}{x} = \frac{21}{2}

\frac{2}{( x - 3 )} + \frac{1}{( x - 1 )} = \frac{5}{( x - 1 )} - \frac{2}{( x - 2 )}

\frac{1}{7 \cdot x ^{2} + 1} = \frac{4}{7 \cdot x}

What is the answer to (n^2)/(y^2)+(y^2)/(n^2)=223 ?
The answer to (n^2)/(y^2)+(y^2)/(n^2)=223 is