Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 11 - Section 11.1 - Solving Quadratic Equations by Factoring - Exercise - Page 364: 22

Answer

$x=-\frac{3}{2}$ or $x=\frac{1}{2}$.

Work Step by Step

By factorization, we have $$4x^2 +4 x-3=(2x+3)(2x-1)=0.$$ Then we have $$(2x+3) =0, \quad \text{or} \quad (2x-1)=0$$ that is $x=-\frac{3}{2}$ or $x=\frac{1}{2}$.
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