You can't find p by completing the square when you have two unknown variables in the equation. You need to use the fact that the function has two equal roots to work out p (by finding the discriminant).
b^2 - 4ac = 0 according the part of the question that says 2 equal roots. This means you have 9p^2 - 4*1* (14p-3) = 0
9p^2 - 56p +12 =
I can't do that in my head, so try putting that into the quadratic formula to get the values for p. (I got the answers as 6 and 2/9). 6 is the only integer, so 6 is the answer.
Okay thanks. Where have I gone wrong? (3p)^2-4<14p-3 9p^2< 14p-3+4 9p^2< 14p + 1 p^2< 14p+1 divided by 9
Edit: Do you understand what King had posted and why he did it that way? That's the most crucial part of all of this, even if you didn't resolve the question by yourself.
b^2 - 4ac = 0 according the part of the question that says 2 equal roots. This means you have 9p^2 - 4*1* (14p-3) = 0
9p^2 - 56p +12 = 0
I can't do that in my head, so try putting that into the quadratic formula to get the values for p. (I got the answers as 6 and 2/9). 6 is the only integer, so 6 is the answer.
Please don't post full solutions in the future; as per the maths forum posting guidelines, hints are much preferred and full solutions will be removed (unless the OP has already seen them)
Oh, sorry I didn't know this section had guidelines like that! I'll keep in it mind next time, I just got carried away, lol. I was intending to stop at the 9x^2 -56p +12
Maths is just too addictive, isn't it? Fair enough, now you know. Thanks for taking the time to help out here, in any case!