What is the discriminant of #x^2 -11x + 28 = 0# and what does that mean?
The discriminant is 9. It tells you that there are two real roots to the equation.
If you have a quadratic equation of the form
The solution is
The discriminant "discriminates" the nature of the roots.
There are three possibilities.
#Δ > 0#, there are two separate real roots.
#Δ = 0#, there are two identical real roots.
#Δ <0#, there are no real roots, but there are two complex roots.
Your equation is
This tells you that there are two real roots.
We can see this if we solve the equation.
There are two real roots to the equation.