Page 2 - quadratic equations
P. 2

QUADRATIC EQUATION


               In general, a quadratic equation will be in the form



                                                   ax² + bx + c = 0


               Two methods to solve a quadratic equation are


               1. Using a Standard Formula


                If the quadratic equation is of the type ax² + bx + c = 0, then it

               can be solved by this standard formula


                                                                  2
                                                    x =  −  ±√   −4    
                                                                2  


               In this method, we will get two types of values, one will be due to
               +ve sign and other will be by using –ve sign. The formula can be

               used for all types of quadratic equation irrespective of whether the

               equations can be factorized or not.


               2. Factorization Method


               In factorization, we need to find the factors of the given terms.
               Unlike the above method, this method can only be solved when

               the equation given to us can be factorized. For e.g., factors of 8

               are 1, 2, 4, and 8 Similarly factors of 12 are 1, 2, 3, 4, 6, and 12.
               Thus you can use this method only when the terms given to you

               can be factorized.
   1   2   3