Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Section 11.3 - Integrated Review - Summary on Solving Quadratic Equations: 20

Answer

$x_{1}= \dfrac{-5 + \sqrt{17}}{4} $ and $x_{2} = \dfrac{-5 - \sqrt{17}}{4} $

Work Step by Step

Given $2x^2=-5x-1 \longrightarrow 2x^2+5x+1=0$ $a= 2, \ b=5, \ c=1$ Using the quadratic formula: $\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$ we have: $\dfrac{-5 \pm \sqrt{5^2-4 \times 2\times 1}}{2 \times 2} = \dfrac{-5 \pm \sqrt{25-8}}{4} = \dfrac{-5 \pm \sqrt{17}}{4} $ Therefore the solutions are $x_{1}= \dfrac{-5 + \sqrt{17}}{4} $ and $x_{2} = \dfrac{-5 - \sqrt{17}}{4} $
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