please help me understand & solve

[emi1]

Given that 25+px+16 is a perfect square and p>0, find the value of p

 

[Dr.Peterson]

I'm not confident that you wrote the equation correctly. Why isn't it written as px+41? And why are there two variables but you are only asking for p?

My guess is that it's supposed to be 25x^2+px+16, and you want a perfect square trinomial, not a perfect square number. In that case, it's easy.

 

[emi1]

I'm not confident that you wrote the equation correctly. Why isn't it written as px+41? And why are there two variables but you are only asking for p?

My guess is that it's supposed to be 25x^2+px+16, and you want a perfect square trinomial, not a perfect square number. In that case, it's easy.

yes i made a mistake writing the question my apologies! here's a photo of the question

 

[Steven G]

I too think you meant 25x^2+px+16

You asked for help but failed to tell us where you are stuck. Please post back showing us your attempt so we know what type of help you need.

 

[Deleted member 4993]

yes i made a mistake writing the question my apologies! here's a photo of the question

Hint: Use:

$\displaystyle (a + b)^2 \ = \ a^2 \ + \ 2*a*b \ + \ b^2$​

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520​

Please share your work/thoughts about this problem.

 

[Dr.Peterson]

yes i made a mistake writing the question my apologies! here's a photo of the question

Good, we were correct.

So, how have you tried to solve it? Do you know what a perfect square trinomial looks like?