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# 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 ax^{2} + bx + c = 0, the roots can be calculated as,

x = [- b + **( √** b^{2} - 4ac )] / 2a and [- b - **( √** b^{2} - 4ac )] / 2a

Now, if discriminant D = b^{2} - 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.

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