## Precalculus (6th Edition)

Published by Pearson

# Chapter 1 - Equations and Inequalities - 1.4 Quadratic Equations - 1.4 Exercises: 89

#### Answer

The equation has two complex solutions.

#### Work Step by Step

$9x^{2}+11x+4=0$ The discriminant is given by $b^{2}-4ac$. For this equation, $a=9$, $b=11$ and $c=4$ Let the discriminant be $D$. Substitute the known values into the formula and evaluate: $D=11^{2}-4(9)(4)=121-144=-23$ Since the discriminant is equal to a negative number, the equation has two solutions and they are complex numbers.

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