Use the discriminant to determine what type of solutions exist for the quadratic equation. Do not solve the equation. $5 x ^ { 2 } + x + 3 = 0$
A)rational, equal
B)irrational, unequal
C)irrational, equal
D)nonreal complex numbers, complex conjugates
E)rational, unequal

Question

Quizplus · Accepted Answer

The discriminant is $b^2-4ac = 1^2-4(5)(3) = -59$, which is negative. This means that the solutions will be nonreal complex numbers and will be complex conjugates of each other.

Use the Discriminant to Determine What Type of Solutions Exist 5x2+x+3=05 x ^ { 2 } + x + 3 = 05x2+x+3=0

Use the Discriminant to Determine What Type of Solutions Exist $5 x ^ { 2 } + x + 3 = 0$