College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.4 - Solving Quadratic Equations - 1.4 Exercises - Page 123: 62


Two real solutions.

Work Step by Step

We find the discriminant ($a=1, b=r, c=-s$): $D=b^{2}-4ac=(r)^{2}-4(1)(-s)=r^{2}+4s$ We are told that $s$ is positive and $r^2$ must be positive, so $D$ is posititive. The discriminant is positive, so there are two real solutions.
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