Question

How to use the discriminant to find out how many real number roots an equation has for `x^2 - 4x + 3 = 0`?

Answer 1

`color(purple)("TWO REAL ROOTS"`

Explanation:

`x^2 - 4x + 3`

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

In this case,

`color(brown)(D = b^2 - 4ac) = 16 - (4 * 1 * 3) = 4, " which is "color(blue)( > 0) " and hence has two real roots ", color(green)(+-2`