Question

How to use the discriminant to find out how many real number roots an equation has for `2x^2 + 5x - 3 = 0`?

Answer 1

#2x^2 + 5x - 3 = 0

D = d^2 = b^2 - 4ac = 25 + 24 = 49 -> d = +- 7

There are 2 real roots:

`x = -b/(2a) +- d/(2a) = -5/4 +- 7/4`