Answer
The expression has one repeated real solution.
Work Step by Step
The expression provided is
$9{{x}^{2}}-30x+25$
Use the following expression,
$D={{b}^{2}}-4ac$
Substitute the values in the expression,
$\begin{align}
& a=9 \\
& b=-30 \\
& c=25
\end{align}$
Now, solve the expression
$\begin{align}
& D={{b}^{2}}-4ac \\
& ={{\left( -30 \right)}^{2}}-4\left( 9 \right)\left( 25 \right) \\
& =900-900 \\
& =0
\end{align}$
As, $D=0$
Therefore, the equation has one repeated real solution.