Question

If x/y=6/5 then find the value of x2+y2/x2-y2

Answer 1

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Answer 2

Step-by-step explanation:

Given that

$\frac{x}{y} = \frac{6}{5}$

To find value of

$\frac{ {x}^{2} + {y}^{2} }{ {x}^{2} - {y}^{2} }$

Solution

$\frac{ {x}^{2} + {y}^{2} }{ {x}^{2} - {y}^{2} } = \frac{(6 {k)}^{2} + (5 {k)}^{2} }{(5 {k)}^{2} - (6 {k)}^{2} }$

$= \frac{61 {k}^{2} }{11 {k}^{2} } \\ = \frac{61}{11}$

hence solution is 16/11.