Question

if ×/y=3/2,than x²+y²/x²-y²​

Answer 1

Step-by-step explanation:

$\frac{x}{y} = \frac{3}{2}$

$x = \frac{3y}{2}$

${x}^{2} + {y}^{2} = \frac{9 {y}^{2} }{4} + {y}^{2} = \frac{13{y}^{2} }{4}$

${x}^{2} - {y}^{2} = \frac{9 {y}^{2} }{4} - {y}^{2} = \frac{5 {y}^{2} }{4}$

$\frac{ {x}^{2} + {y}^{2} }{ {x}^{2} - {y}^{2} } = \frac{ \frac{13 {y}^{2} }{4} }{ \frac{ 5{y}^{2} }{4} }$

$= \frac{13}{5}$