The minimum value of xˣ is (1/ea)^1/ea. Find the roots of x²-2x+a.

Calculus question

Easy · from the problemset calculus collection

$$\text{The minimum value of } x^x \text{ is } (\frac{1}{ea})^\frac{1}{ea}. \text{ Find the roots of } x^2-2x+a.$$