Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 3 - Linear and Quadratic Functions - 3.5 Inequalities Involving Quadratic Functions - 3.5 Assess Your Understanding - Page 160: 17


Empty solution set.

Work Step by Step

$x^2-x+1\leq0$ has an empty solution set because it is always positive because its determinant ($b^2-4ac=(-1)^2-4\cdot1\cdot1=1-4=-3)$ is negative ($-3$).
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