Select the correct answer.If 2 i 2 + i − 3 i 3 + i = a + b i, then a=_ and b=_.1/10-101/50-1/10

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Select the correct answer.If             2      i              2      +      i        −            3      i              3      +      i        =  a  +  b  i, then a=_ and b=_.1/10-101/50-1/10

EreneDreaceaw · Accepted Answer

Step 1Given that            2      i              2      +      i        −            3      i              3      +      i        =  a  +  b  iStep 2  ⇒            2      i              2      +      i        ×            2      −      i              2      −      i        −            3      −      i              3      +      i        ×            3      −      i              3      −      i      Since   (  a  +  b  )  (  a  −  b  )  =      a          2        −      b          2        ⇒            2      i      (      2      −      i      )                      2                  2                    −              i                  2                      −            3      i      (      3      −      i      )                      3                  2                    −              i                  2                      ⇒            4      i      −      2      i              4      +      i        −            9      i      −      3              i                  2                            9      +      i        ⇒            4      i      +      2        5    −            9      i      +      3        10                 i          2        =  −  2  ⇒            8      i      +      4      −      9      i      −      3        10    ⇒            −      i      +      i        10    ⇒      1    10    −      i    10  Compare with a+ib  a  =      1    10    ,  b  =  −      1    10

Select the correct answer. If 2 i </mrow> 2 + i

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