Prove that equation x^2 + y^3 = 60 does not have any positive integer solution. Prove by exhaustively checking every possible candidate solutions.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.2: Adding And Subtracting Polynomials
Problem 13P
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Prove that equation x^2 + y^3 = 60 does not have any positive integer solution. Prove
by exhaustively checking every possible candidate solutions. 

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