Answer:
(x -4)^2 = 13
Step-by-step explanation:
To solve this equation using the completing the square method;
x^2 - 8x + 3 = 0
The first step is to take +3 to the right-hand side of the equation, 3 becomes negative when it crosses over the equality sign.
The equation becomes;
x^2 - 8x = -3
The next step is to add square of half of the coefficient of x to both-side of the equation. That is; you will add (-4)^2 to both-side of the equation.
x^2 - 8x + (-4)^2= -3 + (-4)^2
Then, we factorize the left hand side of the equation and our equation
(x - 4)^2 = -3 + (-4)^2
The we simplify the right-hand side of the equation
(x - 4)^2 = -3 + 16
(x - 4)^2 = 13
