Given the equation : 2x^2 - 5x + 7 = 0.
1. Find the discriminant.
2. Describe the roots and explain your reasoning.
2x^2 - 5x + 7 = 0
1. discriminant = (-5)^2 - 4(2)(7) = 25 - 56 = -31
2. Since the discriminant is < 0, then we have non-real roots