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What value of c makes 36x^2+84x+c a perfect square trinomial? a) 49 b) 7 c) 9 d) 4

What value of c makes 36x^2+84x+c a perfect square trinomial? a) 49 b) 7 c) 9 d) 4
163k views
3 votes
What value of c makes 36x^2+84x+c a perfect square trinomial?

a) 49
b) 7
c) 9
d) 4

User Okhan Okbay
by
8.3k points

2 Answers

3 votes
36x^2 + 84x + c
The middle term in a perfect square trinomial =
2* sqrt a * sqrt c
Divide 84 by 2 = 42
Take the sqrt of 36 = 6
42/6 = 7
sqrt c = 7
So c = 49
User Winston
by
7.9k points
1 vote
(6x+7) (6××7)
Multiply 6x by 6x 36×2
6×(7) =42×
7 (6×)=42×
7 [7)=49
User Beau Harder
by
7.7k points
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