Find the square root of -5-12i
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Step-by-step explanation:
Suppose that a+bi is a square root of 5 + 12i. Then, (a+bi)^2 = (a^2 - b^2) + (2ab)i = 5 + 12i. 2ab = 12 ==> b = 6/a. ==> a^4 -5a^2 - 36 = 0.
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