Answer
no real solutions.
Work Step by Step
RECALL:
A quadratic equation whose discriminant $b^2-4ac$ is negative has no real number solutions.
The given quadratic equation has $a=1, b=2, $ and $c=5$.
Solving for the discriminant gives:
$b^2-4ac= 2^2-4(1)(5) = 4-20 = -16$
Since the discriminant is negative, the given equation has no real number solutions.
