Elementary Algebra

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

Chapter 10 - Quadratic Equations - 10.4 - Solving Quadratic Equations - Which Method? - Problem Set 10.4: 49

Answer

The answer is below.

Work Step by Step

In order for there to be a real number solution, there must be two numbers that multiply to get 4 and add to get one. However, to get two numbers to add to one, both numbers must be between one and 0. All numbers between one and 0 multiply to get a number between one a zero, so there is no real number solution that multiplies to get 4 and adds to get one.
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