Elementary Algebra

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

Chapter 10 - Quadratic Equations - Chapter 10 Test - Page 469: 10


No real number solutions

Work Step by Step

We will solve the equation using the property that says that if $x^{2}=a$, then $x=\pm\sqrt a$: Step 1: $(2x-1)^{2}=-16$ Step 2: $2x-1=\pm \sqrt {-16}$ As $\sqrt {-16}$ cannot be solved without introducing complex numbers, there are no real number solutions to the equation.
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