Science:Math Exam Resources/Courses/MATH152/April 2015/Question A 19
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Question A 19 |
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Given that the real part and imaginary part of the complex number satisfy the equation , find and . |
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? |
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! |
Hint |
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For two complex numbers to be equal, their real and imaginary parts must be equal. |
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.
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Solution |
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Found a typo? Is this solution unclear? Let us know here.
Please rate my easiness! It's quick and helps everyone guide their studies. For , we must have and . Expanding, we find that Hence and Solving these simultaneous equations, we obtain |