Complex proof - Not sure where to go from here. (homework)Knowing 2 π r = h m ( e 2 m r ) How do I prove r = h 2 ( ( 2 π ) 2 m e 2 ) ?I started by dividing both sides by 2 π to get r = h m ( e 2 m r ) 2 π then I squared both sides to get r 2 = h 2 m 2 ( e 2 m r ) ( 2 π ) 2 But I am not sure where to go from here to yield my expected result.All help is appreciated.

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Complex proof - Not sure where to go from here. (homework)Knowing   2  π  r  =            h              m                  (                                                    e                2                                            m                r                                              )                    How do I prove   r  =                    h        2                    (        (        2        π                  )          2                m                  e          2                )            ?I started by dividing both sides by   2  π to get  r  =            h              m                  (                                                    e                2                                            m                r                                              )                2        π            then I squared both sides to get      r    2    =                    h        2                              m          2                (                              e            2                                m            r                          )        (        2        π                  )          2                    But I am not sure where to go from here to yield my expected result.All help is appreciated.

percolarse2rzd · Accepted Answer

r    2    =            h      2                      m        2            (                        e          2                          m          r                    )      (      2      π              )        2                  r    2    =            h      2              m      (                        e          2                r            )      (      2      π              )        2                  r    2    =            r              h        2                    m      (                        e          2                    )      (      2      π              )        2            Multiply by             1      r       both sides  r  =            h      2              m      (                        e          2                    )      (      2      π              )        2

Spencer Lutz · Accepted Answer

r    2    =            h      2                      m        2                    (                              e            2                                m            r                          )            (      2      π              )        2                  r    2    =            h      2                      (                              m                          e              2                                r                )            (      2      π              )        2              4      π    2        r    2    =            h      2              (                        m                      e            2                          r            )        4      π    2        r    2    =            r              h        2                    m              e        2              4      π    2        r    2    m      e    2    =  r      h    2    4      π    2        r    2    m      e    2    −  r      h    2    =  0  r  (  4      π    2    r  m      e    2    −      h    2    )  =  0  r  =  0  ,  r  =            h      2              4              π        2            m              e        2              =            h      2              (      (      2      π              )        2            m              e        2            )        r  &amp;gt;  0 probably (in your context) so you can reject the solution   r  =  0

Complex proof - Not sure where to go from here. (homework) Knowing 2 π r

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