Question

Please solve: Correct step by step answer will be marked brainliest.

Answer 1

Answer:

√5

Step-by-step explanation:

Given :

x² + 1/x² = 7

We know that(a - b)^2 = a^2 + b^2 - 2ab

Put a = x, b = 1/x

⇒ (x - 1/x)² = x² + 1/x² - 2 * x * 1/x

⇒ (x - 1/x)² = 7 - 2

⇒ (x - 1/x)² = 5

⇒ x - 1/x = √5

Hope it helps!