Question

use the discriminant to find the number and type of solutions:
x^2-2x+3=0

Answer 1

a = 1, b = -2, c = 3
discriminant is what is in the root in the quadratic formula:
b^2 - 4ac
Insert values for a, b, c above and solve

Answer 2

you are a genius

Answer 3

Then, once you calculated the discriminant,
if the value is greater than zero you get 2 real solutions
if the value is zero you get 1 real solution
if the value is less than zero you get 2 complex (imaginary) solutions