Answer:
See below.
Step-by-step explanation:
x^2 - 6x + 1 = 0
x^2 - 6x = -1
We halve the coefficient of x (which is -6/2 = -3) and square it, then add this to both sides:-
x^2 - 6x + (-3)^2 = -1 + (-3)^2
x^2 - 6x + 9 = -1 + 9
(x - 3)^2 = 8
x - 3 = ±√8
x = 3 ± √8
= 0.17, 5.83 to 2 decimal places.
