You notice that the following problem cannot be factored so you solve it by completing the square.
What value of c would make the left-hand side of this equation a perfect square trinomial?
x^2 - 14x + c = 13
a. 196
b. -7
c. 49
d. -14
e. 4
To complete the square, we need to take half of the coefficient of x and square it.
First, let's take half of -14, which is -7. Then square -7, which gives 49.
Therefore, the correct value of c would be 49.
So, the answer is:
c. 49