Answer
Discriminnt: 273
$2$ real solutions
Work Step by Step
In the given equation,
\begin{align*}
x^2+17x+4=0
,\end{align*} $a=
1
,$ $b=
17
,$ and $c=
4
.$ Using the Discriminant Formula which is given by $b^2-4ac,$ the value of the discriminant is
\begin{align*}
&
17^2-4(1)(4)
\\&=
289-16
\\&=
273
.\end{align*}
Since the discriminant is a non-perfect, positive number, then there are 2 real solutions.
