Question

If R = {(x, y) : x and y are integers and x^2 + y^2 = 64} is a relation, then find R.

Answer 1

R = {(0, 8), (0, -8), (8, 0), (-8, 0), (6, ±2), (-6, ±2), (2, ±6), (-2, ±6)}

Explanation:

Since
`(\pm8)^2+0^2=64`,
`0^2+(\pm 8)^2=64`,
`(\pm 6)^2+2^2=64`, and
`6^2+(\pm 2)^2=64`, then those are your integer solutions to find R.