Answer
Discriminant: $-32$
$\text{There are no real solutions.}$
Work Step by Step
In the given equation,
\begin{align*}
-x^2+2x-9=0
,\end{align*} $a=
-1
,$ $b=
2
,$ and $c=
-9
.$ Using the Discriminant Formula which is given by $b^2-4ac,$ the value of the discriminant is
\begin{align*}
&
2^2-4(-1)(-9)
\\&=
4-36
\\&=
-32
.\end{align*}
Since the discriminant is less than $0,$ then there are no real solutions.
