# What is Sridharacharya Method?

We solve quadratic equation by different methods. Sridharacharya wrote a method to solve the quadratic equation and hence it is named after the great mathematician.

## Answer: Sridharacharya method is a way to solve the quadratic equation. It is also known commonly as the Quadratic formula.

The Sridharacharya method is commonly known as the quadratic formula.

## Explanation:

Let us consider the quadratic equation be ax^{2} + bx + c = 0, where a, b, c are the numerical coefficient and a ≠ 0.

We know that a quadratic equation is of degree 2 and hence it will have 2 roots, say let the roots be x_{1} and x_{2} .

The roots of the quadratic equation using the Sridharacharya method is given by the formula :

x_{1} = (-b + √(b^{2} - 4ac)) / 2a , x_{2} = (-b - √(b^{2} - 4ac)) / 2a

Alternatively, we write this as

x = (-b ± √(b^{2} - 4ac)) / 2a

Let us use the Sridharacharya method and try to solve the quadratic equation x^{2} + 4x +3 = 0.

Here a = 1 , b = 4 and c = 3. After substituting the values in the formula we have,

x = (-4 ± √(4^{2} - 4×1×3)) / 2 × 1

=(-4 ± √(16 - 12 )) / 2

= (-4 ± √4 ) / 2

=(-4 ± 2 ) / 2

Now

x_{1} = (-4 + 2) / 2

= -2/2 = -1

and x_{2} = (-4 - 2) / 2

= -6/2

= -3

The roots of the quadratic equation x^{2} + 4x +3 using the Sridharacharya method are -1 and -3.