SOLUTION: Help!!!!!!!!!!!!! My boyfriend (majoring in engineering) says if I can get this solved for P (Proposal) that is a hint as to the number of weeks until he proposes! I think I know

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Question 54762: Help!!!!!!!!!!!!! My boyfriend (majoring in engineering) says if I can get this solved for P (Proposal) that is a hint as to the number of weeks until he proposes! I think I know the answer but can you help me?
p2 + 3p + 2
____________ = 3/2 + 3p -3
p + 1
Found 2 solutions by psbhowmick, venugopalramana:
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
%28p%5E2+%2B+3p+%2B+2%29%2F%28p%2B1%29+=+3%2F2+%2B+3p+-+3
%28p%2B1%29%28p%2B2%29%2F%28p%2B1%29+=+3%2F2+%2B+3p+-+3
%28p%2B2%29+=+3%2F2+%2B+3p+-+3 [if p not equal to -1]
3%2F2+%2B+3p+-+3+-+p+-+2+=+0
3%2F2+%2B+2p+-+5+=+0
2p+=+5+-+3%2F2
2p+=+%282%2A5+-+3%29%2F2
2p+=+7%2F2
p+=+7%2F4

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
Help!!!!!!!!!!!!! My boyfriend (majoring in engineering) says if I can get this solved for P (Proposal) that is a hint as to the number of weeks until he proposes! I think I know the answer but can you help me?
p2 + 3p + 2
____________ = 3/2 + 3p -3
p + 1

OK THIS IS MY BIT TO YOUR HAPPINESS WITH YOUR BOY FRIEND THOUGH IT LOOKS A STRANGE TEST!!
p2 + 3p + 2
____________ = 3/2 + 3p -3 = 1.5+3P-3....MULTIPLYING BOTH SIDES WITH P+1,WE GET
p + 1
(THIS TAKES IN TO ACCOUNT THAT P+1=0...OR...P=-1 .IS NOT POSSIBLE.THAT IS HE WOULD HAVE ALREADY PROPOSED TO YOU A WEEK AGO!!!HE HAS NOT DONE SO AS PER YOU!!..SO..IT IS OK)
P^2+3P+2=(P+1)(1.5+3P-3)=1.5P+3P^2-3P+1.5+3P-3=1.5P+3P^2-1.5
1.5P+3P^2-1.5-P^2-3P-2=0
2P^2-1.5P-3.5=0............MULTIPLYING WITH 2 TO REMOVE FRACTIONS..
4P^2-3P-7=0
4P^2-7P+4P-7=0
P(4P-7)+1(4P-7)=0
(4P-7)(P+1)=0....BUT P+1 IS NOT ZERO AS WE ALREADY CONCLUDED ABOVE!
4P-7=0
4P=7
P=7/4=1.75 WEEKS ! OH GOSH! IT IS ONLY (OR TOO FAR FOR YOU?) ANOTHER 12 DAYS AWAY!!THAT IS OVER NEXT WEEK END!!DONT FORGET TO GIVE ME A TREAT THEN!!!!!!!!!!!!!!I AM WAITING!!