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Thread: Complex number question

  1. #1
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    Exclamation Complex number question

    Right so the question i need help with is as follows

    Solve the following equation for the complex number z.

    z = 2+3i
    z+1

    Given your answer in its simplest form

    plz help
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  2. #2
    MHF Contributor
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    Hi

    $\displaystyle \frac{z}{z+1} = 2+3i$

    $\displaystyle z = (2+3i)z + (2+3i)$

    $\displaystyle (1+3i)z = - (2+3i)$

    $\displaystyle z = \frac{-2-3i}{1+3i}$

    $\displaystyle z = \frac{-2-3i}{1+3i} \;\;\frac{1-3i}{1-3i}$

    $\displaystyle z = \frac{-11+3i}{10}$
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  3. #3
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    thanx

    thanx man real helpful
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