Question

Use the discriminant to find the number of real solutions of the following quadratic equation: 2x2 + 4x + 2 = 0.
A. no real solutions
B. 1 real solution
C. 2 real solutions
D. 3 real solutions

Answer 1

the discriminant for a quadratic of the form \(ax^2+bx+c = 0, a\ne 0\) is \(b^2-4ac\)

Answer 2

positive discriminant -> 2 real solutions
discriminant = 0 -> 1 real solution
negative discriminant -> no real solutions