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Please help me with this question!!!

Please help me with this question!!!-example-1
User Jeconom
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1 Answer

6 votes

Answer:

3(cos(75°) +i·sin(75°)) and 3(cos(255°) +i·sin(255°))

Explanation:

Using Euler's formula, this can be written as ...

x^2 = 9·e^(i5π/6)

Then the square roots are ...

x = (±√9)e^((i5π/6)/2) = ±3e^(i5π/12)

Of course, multiplying by -1 is the same as adding 180° to the angle.

The square roots are ...

3(cos(75°) +i·sin(75°)) and 3(cos(255°) +i·sin(255°))

User Abdulsamet Kurt
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