Answer
This equation has no real solution.
Work Step by Step
$4x^{2}+5x+\dfrac{13}{8}=0$
The formula for the discriminant is $D=b^{2}-4ac$. For this equation, $a=4$, $b=5$ and $c=\dfrac{13}{8}$
Substitute the known values in the formula:
$D=5^{2}-4(4)\Big(\dfrac{13}{8}\Big)=25-26=-1$
Since $D\lt0$, this equation has no real solution.
