Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.5 - Equations - 1.5 Exercises - Page 57: 84

Answer

This equation has two distinct real solutions.

Work Step by Step

$x^{2}+2.21x+1.21=0$ The formula for the discriminant is $D=b^{2}-4ac$. For this equation, $a=1$, $b=2.21$ and $c=1.21$ Substitute the known values in the formula: $D=2.21^{2}-4(1)(1.21)=4.8841-4.84=0.0441$ Since $D\gt0$, this equation has two distinct real solutions.
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