Question

What value of c makes x2 − 24x + c a perfect square trinomial? −144 −48 48 144

Answer 1

Answer:

144

Step-by-step explanation:

Hello, please consider the following.

$x^2-24x+c$

is a perfect square means that the discriminant is 0.

$\Delta = b^2-4ac=24^2-4c=0\\\\24^2-4c =0 4c=576\\\\\text{We divide by 4}\\\\c= \dfrac{576}{4}=144$

Thank you