Practice problem4





        In this page practice problem4  we will see how to divide two complex numbers.

Solution:

  1. (3+2i)/(2+4i)

            To divide two complex numbers first we have to multiply the numerator by the conjugate of the denominator.

            The conjugate of the denominator is 2-4i.

             Multiply both numerator and denominator by 2-4i.

       Simplifying the numbers we get the answer as

                          =     7/10 -4i/10.

Now let us do the second problem.

       2. (2+3i)/(3-2i)

        The conjugate of divisor (denominator) is 3+2i.

        Multiply both numerator and denominator by 3-2i.

  Simplifying we get the answer as

                                      =   1i.

Now let us do the next problem.

3. (5-6i)/(6+7i).

    The conjugate of the divisor(denominator) is 6-7i.

    Multiply both numerator and denominator by the conjugate 6-7i.   

Simplifying we get the answer as

                              =  -12/85 -(71/85)i

Now let us do the last problem.

4.  (7-5i)/(4-i)

    The conjugate of the divisor (denominator) is 4+i.

    Divide both numerator and denominator by 4+i

 Simplifying we get the answer as

                                 = 33/17 -(13/17)i    

Students can practice the problems in the practice problem4 and work out the problems given below and master in complex addition.

Problems for practice:

  1. (-2+3i)/(3-5i)
  2. (2-7i)/(1-7i)

Parents and teachers can guide the students to practice the problems using the model problems. If you have any doubt please contact us, we will help you to clear your doubts.

 





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