# Short Tricks to Solve Quadratic Equations ## Roots of a Quadratic Equation:

• The values of variable which satisfies the quadratic equation is called solution of the quadratic equation or the roots of the equation.
The roots of quadratic equation is is: where is called discriminant of the quadratic equation and it is represented by D.

## Solution of a Quadratic Equation:

### (i) By Factorisation Method:

if the factors of the given equation  is such that
(dx + e) (fx + g), d≠0, f≠0

### (ii) By Shreedharacharaya formula:

The following formula could be used for equation : If roots of the quadratic equation is α , β , then ## Nature of Roots of Quadratic Equation :

The nature of roots of the quadratic equations are dependent upon the discriminant

D = , the following table will be helpful to find the nature of roots of a quadratic equation: Also, if roots of the quadratic equation is α, β, then

Sum of roots, and product of roots, ## Problem Solving Tricks :

• If α and β are the given roots of the quadratic equation , then you can form the equation as; ## Symmetrical Functions of Root : Good Luck! 