What is Discriminant? #
The value is called discriminant () of the quadratic equation . It helps us identify the nautre of roots of a quadratic equation.
Real Roots #
If the value of discriminant is greater than or equal to zero, , the roots of the quadratic equation will be real. Let’s further investigate on real roots.
Discriminant equals 0 #
When discriminant equals 0, , we have equal real roots, often called conincident or repeated real roots.
Discriminant is a Perfect Square #
When discriminant is a perfect square we have unequal and rational real roots.
Discriminat is greater than 0 #
When discriminant is greater than 0, , we have distinct real roots.
Imaginary Roots #
If the value of discriminant is less than zero, , the roots of the quadratic equation will be imaginary.
Summary #
Here’s a quick review of value of discriminant and nature of roots of a quadratic equation.