How do you find the discriminant and how many solutions does ## have?
Discriminant of a Quadratic.
The discriminant reveals what type of roots the equation has. Note: b^2 – 4ac comes from the quadratic formula.
#color(blue)(b^2 −4ac = 0, " There is one real root. "#
#color(green)(b^2 −4ac > 0, " There are two real roots. "#
#color(red)(b^2 - 4ac < 0, " If the discriminant of a quadratic function is less than zero, that function has no real roots, and the parabola it represents does not intersect the x-axis."#