Elementary Technical Mathematics

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

Chapter 11 - Section 11.2 - The Quadratic Formula - Exercise - Page 367: 22

Answer

$1, \ or, \ 0.4$

Work Step by Step

For the equation $5x^2 -7x +2= 0$, we use the quadratic formula as follows $$ x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}, \\ a=5, \quad b=-7, \quad c=2 .$$ That is, $$ x=\frac{7\pm \sqrt{49-40}}{2(5) }=1, \ or, \ 0.4 .$$
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