In the 1989, Journal of Number Theory paper, N. Tzanakis and B. de Wegner showed that the largest of the 6 triangular numbers that are products of three consecutive integers is 258,474,216. What are the three consecutive integers? Solution: Let x represent the first consecutive integer, x+1 the second consecutive integer and x+2 the third consecutive integer, then x(x+1)(x+2) = 258,474,216 x(x² + 3x+2) = 258,474,216 x+3x²+2x=258,474,216 x+3x+2x-258, 474,216 = 0 Use the factor theorem, long division and the quadratic formula 4

In the 1989, Journal of Number Theory paper, N. Tzanakis and B. de Wegner showed that the largest of the 6 triangular numbers that are products of three consecutive integers is 258,474,216. What are the three consecutive integers? Solution: Let x represent the first consecutive integer, x+1 the second consecutive integer and x+2 the third consecutive integer, then x(x+1)(x+2) = 258,474,216 x(x² + 3x+2) = 258,474,216 x+3x²+2x=258,474,216 x+3x+2x-258, 474,216 = 0 Use the factor theorem, long division and the quadratic formula 4

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.1: Real Numbers

Problem 38E

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