Question

If x/y = -3, then find x²/y² + y²/x².​

Answer 1

9.11

Explanation:

Given that,

`(x)/(y)=-3`

We need to find the value of
`(x^2)/(y^2)+(y^2)/(x^2)`

The value of
`(y)/(x)=(-1)/(3)`

So,

`(x^2)/(y^2)+(y^2)/(x^2)=((x)/(y))^2+((y)/(x))^2\\\\=(-3)^2+((-1)/(3))^2\\\\=9+(1)/(9)\\\\=9.11`

So, the required answer is equal to 9.11.