What is the value of c so that x2−7x+c is a perfect-square trinomial?

Question

A. 49/4
B. 49
C. 7/2
D. 49/2

Answer 1

To determine the value of c that makes x^2 - 7x + c a perfect square trinomial, we need to take half of the coefficient of x (-7) and square it.

Half of -7 is -7/2, and squaring that gives us 49/4.

Therefore, the value of c that makes x^2 - 7x + c a perfect square trinomial is 49/4.

So, the answer is A. 49/4.