MathDB
Differs from reciprocal by 1

Source:

November 24, 2005
VietaLaTeXquadraticsalgebraquadratic formula

Problem Statement

Two different positive numbers a a and b b each differ from their reciprocals by 1. What is a \plus{} b? <spanclass=′latex−bold′>(A)</span>1<spanclass=′latex−bold′>(B)</span>2<spanclass=′latex−bold′>(C)</span>5<spanclass=′latex−bold′>(D)</span>6<spanclass=′latex−bold′>(E)</span>3 <span class='latex-bold'>(A) </span> 1 \qquad <span class='latex-bold'>(B) </span> 2 \qquad <span class='latex-bold'>(C) </span> \sqrt {5} \qquad <span class='latex-bold'>(D) </span> \sqrt {6} \qquad <span class='latex-bold'>(E) </span> 3
Back to ProblemsView on AoPS