Intermediate Algebra for College Students (7th Edition)

Discriminant: $-60$; Roots/solutions: Two imaginary numbers which will be complex conjugates of one another.
Let us determine the discriminant of the quadratic equation $5x^2+3=0$ which can be calculated as: $D=b^2-4ac=(0)^2-(4)(5)(3)=-60$ This implies that $D$ represents a negative real number and with solution of two imaginary numbers. Hence, our answer is: Discriminant: $-60$; Roots/solutions: Two imaginary numbers which will be complex conjugates of one another.