Question

If `x + 1/x = 9`, then the value of `x^2 + 1/x^2` is ______.

पर्याय

• 77

• 79

• 83

• 85

Answer 1

If `x + 1/x = 9`, then the value of `x^2 + 1/x^2` is 79.

Explanation:

If `x + 1/x = 9`, we need to find the value of `x^2 + 1/x^2`.

Step 1: Square both sides of the equation:

`(x + 1/x)^2 = 9^2`

`x^2 + 2 + 1/x^2 = 81`

Step 2: Subtract 2 from both sides:

`x^2 + 1/x^2 = 81 - 2`

`x^2 + 1/x^2 = 79`

Therefore, the value of `x^2 + 1/x^2` is 79.