Question

What value of c makes x^2 - 24x + c a perfect square trinomial?

Answer 1

Divide 24 by two and square it
The answer is 144

Answer 2

Answer:

Step-by-step explanation:

Quadratic equation is given by x²-24x+c

This is in the form expansion of (a-b)², that is a²-2ab+b²

Comparing

            a² = x²,    a = x

            -2ab = -24x

             -2xb = -24x

                  b = 12

           c = b² = 12² =144

   x²-24x+144 = (x-12)²

Option D is the correct answer