# 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?

May 5, 2017

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.