Use the fact that x³ – 6x² = 2 has no integer solution to prove there do not exist 3 consecutive integers k-1, k, k + 1, such that the cube of the largest is equal to the sum of the cubes of the other two.
Use the fact that x³ – 6x² = 2 has no integer solution to prove there do not exist 3 consecutive integers k-1, k, k + 1, such that the cube of the largest is equal to the sum of the cubes of the other two.
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
Chapter3: Solving Equation And Problems
Section3.5: Equations With The Variable On Both Sides
Problem 19P
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