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To make the left-hand side of the equation a perfect square trinomial, we need to find the value of c that will satisfy the equation when completing the square.
To complete the square, we look at the coefficient of x, which is -8, and take half of it: (-8/2)^2 = 16
So, c = 16
Now, we add 16 to both sides of the equation:
x^2 - 8x + 16 = 13 + 16
(x - 4)^2 = 29
Now, we can see that the left-hand side is a perfect square trinomial when x = 4.
Therefore, the answer is:
b. 4