book Maths Puzzle Numerical Ability

Why is a binomial that is the sum of two squares not factorable over
the integers

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To: xcentaur(44)
e.g. Find the solution set.
x^2+ y^2 = 8, and 16x + 4y^2 = 80 Ray started driving to the mall at 30 mph. A short while later he realized he forgot his wallet. He turned around & headed back to the house at 20 mph. It took him a total of .6 ho