Precalculus (10th Edition)

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

Appendix A - Review - A.6 Solving Equations - A.6 Assess Your Understanding - Page A52: 100

Answer

No real solution.

Work Step by Step

The given expression is $4t^2+t+1=0$ The equation is in standard form $at^2+bt+c=0$. We have $a=4,b=1$ and $c=1$. The discriminant is $=b^2-4ac$ $=(1)^2-4(4)(1)$ $=1-16$ $=-15$ Since $-15<0$. There is no real solution. Hence, the equation has no real solution.
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