Answer:x = 2 + √3 and x = 2 - √3Step-by-step explanation:Please use " ^ " to denote exponentiation: x^2 - 4x + 1 = 0.Here you have multiple choices of methods of solution:quadratic formula, completing the square, graphing, and so on.If we complete the square, then: x^2 - 4x + 1 = 0 becomes x^2 - 4x + 4 - 4 + 1 = 0, or(x - 2)^2 = 3Taking the square root of both sides, we get x - 2 = ±√3, so that the roots are:x = 2 + √3 and x = 2 - √3