Question

if x=1÷x-5 then find x^2+1÷x^2​

Answer 1

EXPLANATION.

⇒ x = 1/x - 5.

As we know that,

We can write equation as,

⇒ x - 1/x = - 5.

Squaring on both sides of the equation, we get.

⇒ (x - 1/x)² = (-5)².

⇒ x² + 1/x² - 2(x)(1/x) = 25.

⇒ x² + 1/x² - 2 = 25.

⇒ x² + 1/x² = 25 + 2.

⇒ x² + 1/x² = 27.