# How do you find the discriminant and how many solutions does  have?

Apr 16, 2018

#### Explanation:

The number color(brown)(D = b^2 – 4ac) determined from the coefficients of the equation ax^2 + bx + c = 0.
1. color(blue)(b^2 −4ac = 0, " There is one real root. "
2. color(green)(b^2 −4ac > 0, " There are two real roots. "
3. 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."