Answer
discriminant: 0
number of solution: Choice B
Work Step by Step
The given equation, $
9z^2+30z+25=0
$ has
\begin{align*}a=
9
,b=
30
,\text{ and }c=
25
.\end{align*}
Using $
b^2-4ac
$ or the discriminant, then
\begin{align*}
b^2-4ac&\Rightarrow
(30)^2-4(9)(25)
\\&=
900-900
\\&=
0
.\end{align*}
Since the discriminant is $
0
$, then the solution of $
9z^2+30z+25=0
$ is a one rational number (Choice B).
