Question

What is the solución of the equation x2-4x+1=0?

Answer 1

x = 2 + √3 and

x = 2 - √3

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 = 3

Taking the square root of both sides, we get x - 2 = ±√3, so that the roots are:

x = 2 + √3 and

x = 2 - √3