Home

Discriminant in a quadratic equation

The general form of the quadratic equation is given by ax^2+bx+c=0 , The discriminant of quadratic equations tells us lot about the nature of roots of the quadratic equation

Consider the quadratic equation ax^2+bx+c=0 , the discriminant is given by

Discriminant = b^2-4ac

Lets see one example

Find the discriminant of x^2+5x+6=0

Comparing with standard quadratic equation we have

ax^2+bx+c=0

a=1 , b=5 , c=6

Discriminant = b^2-4ac

Discriminant = 5^2-4*1*6

Discriminant = 25-24 = 1