Finding Solutions of Quadratic Equations:
There are three method to find solution of quadratic equation.
(A) By Factorisation Method:
(B) By Completing Square Method:
(C) By Quadratic Formula:
Factorisation Method: In this method the middle term is seperated into two part and then there is found the two common factors.
(B) Completing Square Method:
(i) Using Division
(ii) Using Multiplication
(i) Using Division:
Example 1:
Solving quadratic equation ax2 + bx + c = 0 for x.
Dividing the equation by a.
(i) Using Division:
Example 2: Find the roots of the equation 2x2 – 5x + 3 = 0 by the method of completing the square.
Solution:
(ii) Using multiplication:
Example 2. Solve for x using complete squaring method 2x2 + 3x - 7 = 0;