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What else can I help you with?
The absolute value for x2?
As long as the range of values for x stays within the set of real numbers, then:|x2| = x2As the square of a real number will always be positive anyway.If on the other hand, x belongs to the set of imaginary numbers, then:|x2| = -x2The reason for that is that in the case of imaginary numbers, x2 will give you a negative number. Its absolute value then would be the negative of that.And with complex numbers it's, well... complex:(ai + b)2 = -a2 + 2abi + b2So:|(ai + b)2| = a2 + 2abi + b2
Is there a complex number that is equal to the square of its conjugate?
Oh, dude, you're hitting me with some math vibes! So, like, a complex number is in the form a + bi, right? The conjugate of that is a - bi. If you square a + bi, you get (a^2 - b^2) + 2abi. The conjugate of that is (a^2 - b^2) - 2abi. So, for a complex number to be equal to the square of its conjugate, you'd need (a^2 - b^2) + 2abi = (a^2 - b^2) - 2abi, which means b has to be 0. So, the complex number would be a real number.
