Question

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

Answer 1

Answer:

9.11

Step-by-step explanation:

Given that,

$\dfrac{x}{y}=-3$

We need to find the value of $\dfrac{x^2}{y^2}+\dfrac{y^2}{x^2}$

The value of $\dfrac{y}{x}=\dfrac{-1}{3}$

So,

$\dfrac{x^2}{y^2}+\dfrac{y^2}{x^2}=(\dfrac{x}{y})^2+(\dfrac{y}{x})^2\\\\=(-3)^2+(\dfrac{-1}{3})^2\\\\=9+\dfrac{1}{9}\\\\=9.11$

So, the required answer is equal to 9.11.