Question

how many integral solution are possible
x^2+y^2+z^2=1980
some hw for everyone

Answer 1

are we allowed to use this
http://en.wikipedia.org/wiki/Legendre's_three-square_theorem

Answer 2

u can use whatever u want

Answer 3

then we're done

Answer 4

1980 = 4x495 = 4(8*61 + 8)
appealing to Legendre's three square theorem, you can conclude there are no solutions

Answer 5

yeah u r right

Answer 6

4(61*8+7) :p

Answer 7

thatzz understandble jst typin mistake

Answer 8

its a bit boring way to work a problem... i feel working it without using the theorem will be mrore interesting..

Answer 9

but that will like hit and trial

Answer 10

you have to pick number ending with 0 and try

Answer 11

like a0, b0 ,c0

Answer 12

a b and c are any integer

Answer 13

now on squaring these they will give 2 zeros in end

Answer 14

so no possible solution