Question
Find possible values of the constant p if the expression px²+12x+4p+px is a perfect square
Answers
Answered by
oobleck
px^2+12x+4p+px = px^2 + (p+12)x + 4p = p(x^2 + (1 + 12/p)x + 4)
We need p to be a perfect square, and it is clear by inspection that if p=4, we have
4(x^2 + 4x + 4) = (2(x+2))^2
We need p to be a perfect square, and it is clear by inspection that if p=4, we have
4(x^2 + 4x + 4) = (2(x+2))^2
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.