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The conjugate of the complex number a + bi is the complex number a - bi . In other terms, it is the original complex number along the sign on the imaginary part changed. Here are some instance of complex numbers and their conjugates.
complex number conjugate
3+ (½) i 3 - (½) i
12 - 5i 12+ 5i
1 - i 1+i
45i 45i
101 101
Note that the conjugate of a real number is only itself with no changes.
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5 2 --- - --- x-1 x+1
3456+3694
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