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Basic Mathematics – I




                    Notes
                                                                  1 4 5
                                          Example: Find the value of x:  2 x  0  0
                                                                  3 5 8

                                   Solution:

                                        1 4 5
                                        2 x   0  0
                                        3 5 8


                                          1(8x  0) 4(16 0) 5(10 3 )  0
                                                                 x
                                          8x  64 50 15x   0
                                           7x  14  0

                                          7x   14

                                          x   2

                                                                    2  1  x
                                          Example: Find the value of x if  0  1  5   is singular.
                                                                    1  3   1

                                   Solution:

                                         2  1   x              2   1  x
                                         0  1   5   is singular   0  1  5  0
                                         1  3   1              1  3   1

                                          2( 1 15) 1(0 5) x (0 1)  0

                                           32 5 x   0
                                          x   37

                                                         x  2 2
                                          Example: Find x if  2 x  2  0.
                                                         2 2 x

                                   Solution:

                                        x  2 2
                                        2 x   2  0
                                        2 2 x

                                          x (0 4) 2(2x  4) 2(4 0)  0

                                           4x  4x  8 8  0

                                           8x  16  0  x  2



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