Question

Which of the following describes the nature of the solutions of the quadratic

equation-2x^2-x-1=0?
A. One real, rational solution
B. Two real, rational solutions
C. Two real, irrational solutions
D. Two complex conjugate solutions

Answer 1

D

Explanation:

To find the solutions, let's calculate the determinant:

Δ = (-1)²-4(-2)(-1) = 1-8 = -7

the solution is: (1 ±√-7)/(-4)

√-7 indicates there are two complex solutions