25x^2+bx+36

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

Question

Mathematics

Guest

29 May, 16:31

25x^2+bx+36

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

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Answers (1)

Know the Answer?

Emanuel Lucero · Answer 1

The value of b is 60.

Step-by-step 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

25x^2+bx+36Find two values of (b) that will make the equation a perfect square trinomial.

25x^2+bx+36

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