Find The Complex Numbers Z Which Simultaneously Satisfy The Equation                        .

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Question

 

Find the complex numbers z which simultaneously satisfy the equation  

                     .

Solution

Correct option is

z1 = 6 + 8i, z2 = 6 + 17i

  

   

  

  

The above equations can be written as   

          

   

     

              

  

and putting in (i), we get  

             

   

.

Hence  z1 = (6, 8) and z2­ = (6, 17)   

i.e.,   z1 = 6 + 8i and z2 = 6 + 17i are two solution.

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