algebra2

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simplify the following quotient of complex numbers into the form of a+bi -9+8i/1+2i

  • algebra2 -

    When there is a division (denominator), multiply top and bottom by the conjugate of the denominator.
    -9+8i
    -----
    1+2i
    (-9+8i)(1-2i)
    =---------------
    (1+2i)(1-2i)
    (-9+16+8i+18i)
    =----------------
    (1+4-2i+2i)
    (7+26i)
    =---------
    (5)
    =7/5 + (26/5)i

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