Asked by Shadow
What positive value of b makes 9^2-bx+4 a perfect square trinomial? How would you solve this problem? Thanks
Answers
Answered by
Shadow
9x^2-bx+4
Answered by
Reiny
First of all to be a perfect square, the first and last terms should be perfect squares, and they are!
so it looks like we had
(3x ± 2)^2
for (3x+2)^2 we would get 9x^2 + 12x + 4
so -bx = 12x
b = -12
for (3x - 2)^2 we would get 9x^2 - 12x + 4
so -bx = -12x
b = 12
So b = ± 12
so it looks like we had
(3x ± 2)^2
for (3x+2)^2 we would get 9x^2 + 12x + 4
so -bx = 12x
b = -12
for (3x - 2)^2 we would get 9x^2 - 12x + 4
so -bx = -12x
b = 12
So b = ± 12
Answered by
Shadow
Thank you!
Answered by
Reiny
Welcome
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.