The quadratic equation is
.
Compare the above equation with standard form of quadratic equation
.
a =
2, b = 11, and c =
2.
The discriminant is
.
(Substitute : a =
2, b = 11, and c =
2)

= 105 > 0 \ \
\The discriminant is positive, so, the equation has two distinct real solutions.
\The equation
has two distinct real solutions.