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Math Help - Other opinion needed

  1. #1
    Junior Member
    Joined
    Jan 2009
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    54

    Thumbs up Other opinion needed

    (-4-39i)/(5-2i)

    Hello Forum I worked this problem out and I just wanted to know is this seems right..

    (-4-39i)/(5-2i)

    Rationalize the denominator with the complex conjugate to remove the imaginary term from the denominator.
    (-4-39i)/(5-2i)*(5+2i)/(5+2i)

    Multiply out the complex conjugate factors in the denominator to remove the imaginary terms.
    ((-4-39i)(5+2i))/(29)

    Simplify the expression.
    (58-203i)/(29)

    Factor out the GCF of 29 from each term in the polynomial.
    (29(2)+29(-7i))/(29)

    Factor out the GCF of 29 from 58-203i.
    (29(2-7i))/(29)

    Reduce the expression (29(2-7i))/(29) by removing a factor of 29 from the numerator and denominator.
    (2-7i)

    Remove the parentheses around the expression 2-7i.
    2-7i
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  2. #2
    Super Member
    Joined
    Dec 2008
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    Scotland
    Posts
    901
    Quote Originally Posted by AlgebraicallyChallenged View Post
    (-4-39i)/(5-2i)

    Hello Forum I worked this problem out and I just wanted to know is this seems right..

    (-4-39i)/(5-2i)

    Rationalize the denominator with the complex conjugate to remove the imaginary term from the denominator.
    (-4-39i)/(5-2i)*(5+2i)/(5+2i)

    Multiply out the complex conjugate factors in the denominator to remove the imaginary terms.
    ((-4-39i)(5+2i))/(29)

    Simplify the expression.
    (58-203i)/(29)

    Factor out the GCF of 29 from each term in the polynomial.
    (29(2)+29(-7i))/(29)

    Factor out the GCF of 29 from 58-203i.
    (29(2-7i))/(29)

    Reduce the expression (29(2-7i))/(29) by removing a factor of 29 from the numerator and denominator.
    (2-7i)

    Remove the parentheses around the expression 2-7i.
    2-7i
    Correct.
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