1. There is a little strangeness in imagining things.
2. With complex numbers, if a complex number satisfies an equation then there is another complex number also that will satisfy that equation and it is very similar to the first one.
3. So, there is a pair of twin complex numbers that will satisfy the equation. They are called conjugate of each other.
4. These two complex numbers are like the two faces of the same coin.
5. You can buy only the thing that is worth of the value of the coin. (consider buying as satisfying an equation in the case of complex numbers)
6. Now it is up to you that what you want to imagine, whether you have bought that thing using its head side or the tail side!
7. The two sides individually also have the same value. Now what that value is in case of complex numbers?
8. Consider a complex number a + ib, then its conjugate is a – ib, both the numbers have same absolute value defined as √(a2 + b2). This is the value that remains same for the twin complex numbers.
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