If the discriminant of an equation is positive, then what can be said for a quadratic equation?

We will use the concept of the Sridharacharyas formula also known as the quadratic formula in order to find the required answer.

Answer: If the discriminant of an equation is positive, then the quadratic equation will have real and distinct roots and the graph of the quadratic equation will cut the x-axis at two real points.

Let us see how we will use the concept of the Sridharacharyas formula in order to find the required answer.

Explanation:

We know that the roots of the quadratic equation can be calculated with the help of the quadratic formula which says that for a given quadratic equation ax² + bx + c = 0, the roots can be calculated as,

x = [- b + ( √ b² - 4ac )] / 2a and [- b - ( √ b² - 4ac )] / 2a

Now, if discriminant D = b² - 4ac > 0, it signifies that roots are real and distinct.

Hence, if the discriminant of an equation is positive, then the quadratic equation will have real and distinct roots and the graph of the quadratic equation will cut the x-axis at two real points.