Question

If x² + y²/ x² - y² = 17/8 , then the value of x:y, is ​

Answer 1

$8( {x}^{2} + {y}^{2} ) = 17( {x}^{2} - {y}^{2} ) \\ 8 {x}^{2} + 8 {y}^{2} = 17 {x}^{2} - 17 {y}^{2} \\ 8 {y}^{2} + 17 {y}^{2} = 17 {x}^{2} - 8 {x }^{2} \\ 25 {y}^{2} = 9 {x}^{2} \\ \frac{25}{9} = \frac{ {x}^{2} }{ {y}^{2} } \\ \frac{5}{3} = \frac{x}{y}$