Answer
The term inside the square root in the quadratic formula is called the discriminant.
Discriminant $=b^{2}-4ac$.
The value of discriminant determines the number of real solutions a quadratic equation has.
Work Step by Step
The term inside the square root in the quadratic formula is called the discriminant.
Discriminant $=b^{2}-4ac$.
The value of discriminant determines the number of real solutions a quadratic equation has.
If discriminant is greater than $0$, then, there are two real solutions for the equation.
If discriminant is equal to $0$, the number of real solutions is one.
If discriminant is less than $0$, the quadratic equation has no real solution.
