Problem 2: (a) Use properties of quadratic functions to prove that 5x² > (x+1)² for all real x > 1. (b) Use mathematical induction and the inequality from part (a) to prove that 3 - 5" > 4n+1 + n² for all integers n > 2.
Problem 2: (a) Use properties of quadratic functions to prove that 5x² > (x+1)² for all real x > 1. (b) Use mathematical induction and the inequality from part (a) to prove that 3 - 5" > 4n+1 + n² for all integers n > 2.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 92E
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