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IloveCharlie

  • 3 years ago

Perform indicated operation and leave answer in the form a+bi. (7+2i)/(4-3i)

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  1. Calcmathlete
    • 3 years ago
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    Basically, you have to rationalize the denominator which means to get rid of 'i' in the denominator. THat means that you have to multiply by the conjugate in the denominator. \[\frac{7 + 2i}{4 - 3i} \implies \frac{7 + 2i}{4 - 3i} \times \frac{4 + 3i}{4 + 3i} \implies~?\]

  2. IloveCharlie
    • 3 years ago
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    22/25+29i/25? http://www.wolframalpha.com/input/?i=%28%287%2B2i%29%2F%284-3i%29%29*%28%284%2B3i%29%2F%284%2B3i%29%29

  3. Calcmathlete
    • 3 years ago
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    Yes...that is correct if you wanted to use a calculator...

  4. IloveCharlie
    • 3 years ago
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    So it that the most simplified? Or could I simplify it down more?

  5. IloveCharlie
    • 3 years ago
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    @Calcmathlete

  6. Calcmathlete
    • 3 years ago
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    THat is the most simplified...I'm not surte if your teacher wants the decimal one or the fraction one. It's up to you :)

  7. IloveCharlie
    • 3 years ago
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    O.k, thanks so much :)

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