Question

25x^2+bx+36

Find two values of (b) that will make the equation a perfect square trinomial.

Answer 1

The value of b is 60.

Explanation:

In order to find the middle term, we have to create a perfect square using the square roots of each end term. The square root of 25x^2 is 5x. The square root of 36 is 6. So we take those and distribute. Then we will get the middle term.

(5x + 6)^2

(5x + 6)(5x + 6)

25x^2 + 30x + 30x + 36

25x^2 + 60x + 36