Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 10 - Quadratic Equations - Chapter 10 Review Problem Set: 24

Answer

18,19

Work Step by Step

Consecutive whole numbers have a difference between them of 1. Therefore, we let the first whole number be $x$ and the second whole number be $(x+1)$. Since the product of the two whole numbers is 342, we obtain: $x(x+1)=342$ $x^{2}+1x-342=0$ $x^{2}−18x+19x−342=0$ $x(x−18)+19(x−18)=0$ $(x−18)(x+19)=0$ $(x−18)=0$ and $(x+19)=0$ $x=18$ and $x=-19$ Therefore, the first number is $18$ and the second number is $18+1=19.$
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