Answer
$33$;
Roots/solutions: Two real irrational which will be conjugates of each other.
Work Step by Step
Let us determine the discriminant of the quadratic equation $x^2+7x+4=0$
which can be calculated as: $D=b^2-4ac=(7)^2-16=33$
This implies that $D$ represents a positive number and non-perfect square with solution of two unequal real numbers.
Therefore, the roots will be of Two real irrational which will be conjugates of each other.
Hence, our answer is:
Discriminant: $33$;
Roots/solutions: Two real irrational which will be conjugates of each other.
