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

Lösung

\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}

Schritte zur Lösung

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

Multipliziere beide Seiten mit

y^{2}

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

Löse

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}

so l v e f or 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}