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वक  शॉप  कै लकु लेशन  & साइंस  - CITS



                        2
                               § 1
                                                        = 36
                    § 1
                       ·
                                  ·
                 2
                a       ¨  ¸   (a) 2  ¨    ¸
                    © a  ¹     © a  ¹
                    1
                  a  +         - 2 = 36
                2
                   a 2
                    1
                  a  +          = 36  +2
                2
                   a 2
                     1
               a  +          = 38
                2
                    a 2
                     1                         1
           7   If x -        = 2, Find the value of x  -
                                            3
                     x                          3
                                               x
               (a - b)  = a  - b  - 3 ab (a - b)
                     3
                            3
                         3
              §   1 · 3  3  1      § 1  § ·  1  ·
              ¨  x  ¸    x       (3  x) ¨  . ¨ ¸ x     ¸
              ©   x  ¹     x 3     © x  © ¹  x  ¹
                    1
                 3      §    1  ·
              = x     -3 ¨  x  ¸
                     3
                    x   ©    x  ¹
                      1    §   1 ·
               3
                   3
              2 = x     -3¨  x  ¸
                       3   ©   x  ¹
                      x
                      1
                  3
              8 = x     -3   2
                      3
                     x
                      1
                   3
              8 = x     -6
                       3
                      x
                         1
                     3
              8+6 =  x
                         3
                        x
                        1
                    3
              14 =  x
                        3
                       x
                   1
               3
              x      = 14
                    3
                   x
                      1                          4   1
           8   If   x                       4
                          = 4, Find the value of x  + x
                      x                             x  4
                   1
               x -        = 4 (take square on both sides)
                   x  2
              §   1·   = 4  [(a - b)  = a  + b  - 2ab]
                                 2
                          2
                                         2
                                     2
              ¨  x  ¸
              ©   x  ¹
               2   1        1    2
              x         2  x x  x      4
                   2        x
                  x
                   1
               2
              x           2      16
                   2
                  x
                  1
              x  2          16     2
                   2
                  x
                                                           35
                                               CITS: WCS - इले    कल - अ ास  4
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