Question

find the value of x-1/x if x²+1/x²=3​

Answer 1

Required Answer:-

Given:

• x² + 1/x² = 3

To find:

• The value of x - 1/x

Solution:

In this question, we will find the value of x - 1/x by using identity.

Given,

➡ x² + 1/x² = 3

Subtracting 2 from both sides, we get,

➡ x² + 1/x² - 2 = 3 - 2

➡ x² + 1/x² - 2 × x × 1/x = 1

Therefore, x² + 1/x² - 2 can be written in (a - b)² form. So,

➡ (x - 1/x)² = 1

➡ x - 1/x = √1

➡ x - 1/x = ±1

Hence, the value of x - 1/x is ±1

Answer:

• x - 1/x = ±1

Identity Used:

• (a - b)² = a² - 2ab + b²