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6

Part of 2010 ISI B.Stat Entrance Exam

Problems(1)

n^2+(n+1)^4=5(n+2)^3.... isi (bs) 2010 #6

Source:

5/16/2012
Consider the equation n2+(n+1)4=5(n+2)3n^2+(n+1)^4=5(n+2)^3
(a) Show that any integer of the form 3m+13m+1 or 3m+23m+2 can not be a solution of this equation.
(b) Does the equation have a solution in positive integers?
algebrapolynomial