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: 19

Answer

$\frac{5}{3}\approx1.667, \ or, \ 0$

Work Step by Step

For the equation $3x^2 -5x = 0$, we use the quadratic formula as follows $$ x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}, \\ a=3, \quad b=-5, \quad c=0 .$$ That is, $$ x=\frac{5\pm \sqrt{25-0}}{2(3) }=\frac{5}{3}\approx1.667, \ or, \ 0 .$$
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