## Intermediate Algebra for College Students (7th Edition)

Discriminant: $52$; Roots/solutions: Two real irrational which will be conjugates of each other.
Let us determine the discriminant of the quadratic equation $x^2+8x+3=0$ which can be calculated as: $D=b^2-4ac=(8)^2-12=52$ 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: $52$; Roots/solutions: Two real irrational which will be conjugates of each other.