Perfect Squares | 2 Oct 2009

Go4Expert Founder
2Oct2009,19:49   #1
shabbir's Avatar
Find a,b which satisfy the following
  • a,b are both greater than 1
  • a and b are not equal.
  • a^2 + 3b and b^2 + 3a are perfect square.
^ denotes power
Invasive contributor
2Oct2009,20:30   #2
nimesh's Avatar
a = 11
b = 16 (or vice versa)

11 and 16 both are greater than 1
11 and 16 are not equal

a^2 + 3b = 11^2 + 3*16 = 121+48 = 169
b^2 + 3a = 16^2 + 3*11 = 256+33 = 289

169 and 289 are perfect squares of 13 and 17 resp
Go4Expert Founder
3Oct2009,11:00   #3
shabbir's Avatar
Bingo