Question

if x-1/x=3 find the values of x^(2)+1/x^(2)​

Answer 1

EXPLANATION.

⇒ (x - 1/x) = 3.

As we know that,

Squaring on both sides of the equation, we get.

⇒ (x - 1/x)² = (3)².

⇒ (x² + 1/x² - 2(x)(1/x)) = 9.

⇒ x² + 1/x² - 2 = 9.

⇒ x² + 1/x² = 9 + 2.

⇒ x² + 1/x² = 11.

Answer 2

Step-by-step explanation:

x-1/x=3

Squaring on both sides we get,

(x-1/x)²=(3)²

x²+1/x²-2=9

x²+1/x²=9+2=11