Page 8 - 10-Math-1 QUADRATIC EQUATIONS
P. 8

11. .QQuuaaddrraatitcicEEqquuaatitoionnss                                                                eeLleeaarrnn..Ppuunnjjaabb

                                           Putting the values of a, b and c in quadratic formula

                                           Example 2: Using quadratic formula, solve the equation

                                           Solution:

                                           Simplifying and writing in the standard form

                                           (2x + 1) (x + 4) - (x - 2) (x + 2) = 0

                                           	 2x2 + 8x + x + 4 - (x2 - 4) = 0

                                           	 2x2 + 9x + 4 - x2 + 4 = 0

                                           or	 x2 + 9x + 8 = 0

                                           Here	a = 1 , b = 9 , c = 8

                                           Using quadratic formula x =             , we have

Version 1.1                                ∴  -1, -8 are the roots of the given equation. Thus, the solution set
                                           is {-8, -1}.

                                                                             8
   3   4   5   6   7   8   9   10   11   12   13