Answer
Discriminant: 0
$1$ real solution
Work Step by Step
In the given equation,
\begin{align*}
x^2-6x+9=0
,\end{align*} $a=
1
,$ $b=
-6
,$ and $c=
9
.$ Using the Discriminant Formula which is given by $b^2-4ac,$ the value of the discriminant is
\begin{align*}
&
(-6)^2-4(1)(9)
\\&=
36-36
\\&=
0
.\end{align*}
Since the discriminant is exactly $0$, then there is 1 solution.
