If x/y = -3, then find x²/y² + y²/x².

asked Jun 5, 2022 17.2k views

3 votes

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4 votes

Answer:

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.

Divyanshu Kumar answered Jun 11, 2022

4.1k points

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