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

Question

5304 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-16T01:48:50

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

![http://slideplayer.com/slide/7936589/]( useruploads.socratic.org )

$"Discriminant " D = b^2 - 4ac$

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

$:. a = 4, b = -2, c = 1$

$D = (-2)^2 - (4 * 4 * 1) = 4 - 16 = -12$

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

What is the discriminant of 4x^2-2x+1=04x^2-2x+1=0 and what does that mean?