Question

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

Answer 1

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

Explanation:

`"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"`