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

Apr 16, 2018

color(purple)("TWO REAL ROOTS"

Explanation:

${x}^{2} - 4 x + 3$

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

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