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What sound card should you use on a foxconn 2abi motherboard?
Hounfolks
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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?
If the number is (a + bi) then the conjugate is (a - bi)so set (a + bi) = (a - bi)² = a² - 2abi - b².This can be split into to separate equations, because the real part on the left must equal the real part on the right, and the imaginary part on the left must equal the imaginary on the right.a = a² - b² ; and b = -2ab.Use the 2nd equation to solve for a, by dividing both sides by b: 1 = -2a ---> a = -1/2.Plug this into the first equation, and solve for b: -1/2 = (-1/2)² - b² --- b² = 3/4.So b = (±√3)/2, So the number -1/2 + i(√3)/2, and its conjugate -1/2 - i(√3)/2, will solve the conditions.
