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

1 Answer

sankarankalyanam

Apr 16, 2018

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

Explanation:

![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"#

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