#### 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.