# What is the discriminant of 4x^2-2x+1=0 and what does that mean?

Apr 16, 2018

color(red)(D < 0 " (Negative), given equation has no real roots"

#### Explanation:

$\text{Discriminant } D = {b}^{2} - 4 a c$

Given ewquation is $4 {x}^{2} - 2 x + 1 = 0$

$\therefore a = 4 , b = - 2 , c = 1$

$D = {\left(- 2\right)}^{2} - \left(4 \cdot 4 \cdot 1\right) = 4 - 16 = - 12$

Since color(red)(D < 0 " (Negative), given equation has no real roots"