HELP ILL GIVE MOST BRAINLY AND 20 POINTS

Answer:
Your answer is correct. (x-4)^2 = 3
Step-by-step explanation:
x^2 - 8x + 13 (is not a perfect square so you need to move the 13 to the right by subtraction)
x^2 - 8x + ____ = -13 (In order to get A, divide the second coefficient by 2. That would be -4 in this case. Now we need to square A to find the constant. That would be 16)
(x^2 - 8x + 16) = -13 + 16 (Whatever we do on the left we add on the right, -13+16 = 3)
(x-4)^2 = 3