Answer:
c = 25/4
Explanation:
To create a perfect square trinomial in the form of x^2 + 5x + c, we need to find the value of "c" that completes the square. The perfect square trinomial can be factored into a binomial squared.
To find the value of "c," we follow these steps:
Take half of the coefficient of the x-term (5x) and square it:
(1/2 * 5)^2 = (5/2)^2 = 25/4
The value of "c" needed to create a perfect square is the result from step 1:
c = 25/4
So, the value of "c" needed to create the perfect-square trinomial x^2 + 5x + c is 25/4.