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Complex modulus```````` If the module of complex number (radical 2 - 2ai) / (a + 2I) is radical 2, then the value of real number a is_____
According to the nature of the complex number: | Z1 / Z2 | = | Z1 | / | Z2|
|(radical 2 - 2ai) / (a + 2I) | = | (radical 2 - 2ai) | / | (a + 2I)|
=Root (2 + 4A ^ 2) / root (a ^ 2 + 4)
=Radical 2
So: (2 + 4A ^ 2) / (a ^ 2 + 4) = 2
The solution is: a = positive and negative root sign 3
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