# what is the number of all positive integer solutions[x,y] of the equation x^2+y^6=2010 here [] is not GIF

Arun Kumar IIT Delhi
8 years ago
See
$x^2+y^6=2010 \\x^2+(y^3)^2=2010 \\2010=2*3*67*5$
doesn't have a factor of 4
So none of them has to be even
=>both of them will be odd
=>possible value of y 1,3
=>putting those value find answer if possible

Arun Kumar
IIT Delhi