# How do you find the discriminant of #x^2-2x+4=0# and use it to determine if the equation has one, two real or two imaginary roots?

##### 1 Answer

See below.

#### Explanation:

To find the discriminant you take the radical (root) of the quadratic formula and insert the values you know from your standard form equation and simplify.

- One real root:
#D=0# - No real roots and two imaginary roots:
#D<0# - Two real roots:
#D>0#

Sorry but I do not know how to calculate if there are imaginary roots.