Number of solution of the equation √ x2 - x + 1 + 1/√ x2 - x + 1 = 2 - x 2 is

We know that, AM ≥ GM
∴ √a + 1/√a ≥ 2
Here, √x² - x + 1 + 1/√x² - x + 1 ≥ 2
⇒ 2 - x² ≥ 2
⇒ x² ≤ 0
⇒ x = 0
Hence, the given equation has only one solution.