Quadratic equation roots formula

Quadratic Formula is used to find the roots (solutions) of any quadratic equation. Using the Quadratic formula real and imaginary all the types of roots of the quadratic equations are found.

The quadratic formula was formulated by a famous Indian mathematician Shreedhara Acharya, hence it is also called Shreedhara Acharya’s Formula.

It is used to find the solution of the quadratic equation of the form

ax² + bx + c = 0

where a ≠ 0, and a, b, and c are real constants.

For a Quadratic equation, f(x) = ax²+ bx + c where a is not equal to 0 and a, b, and c are real numbers; the solution of f(x) = 0 is given by Quadratic Formula i.e.,

The term under the square root i.e., b² – 4ac, is called the discriminant, which determines the nature of the roots:

• discriminant > 0, the equation has two real and distinct roots.
• discriminant = 0, the equation has exactly one real root (a repeated root).
• discriminant < 0, the equation has two complex (or imaginary) roots.

Example: Find the roots of the

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