Question

The number of real solutions of `x - 1/(x^2 - 4) = 2 - 1/(x^2 - 4)` is ______.

पर्याय

• 0

• 1

• 2

• infinite

Answer 1

The number of real solutions of `x - 1/(x^2 - 4) = 2 - 1/(x^2 - 4)` is 0.

Explanation:

`x - 1/(x^2 - 4) = 2 - 1/(x^2 - 4)`

For exp. defined x² – 4 ≠ 0

⇒ x ≠ ±2

On solving we get x = 2 ...(Not possible)

∴ No root