additive inverse of complex numbers , 5
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Answer:
additive Inverse of 5 is "-5"
Step-by-step explanation:
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We know that the sum of any number and its additive inverse of that number is zero.
To find: Additive Inverse of the Complex Numbers:
Let take the complex numbers Z = X + iy and its inverse be Z-1 = a + ib
Step 1: Now add the Z and Z-1, we get
Z + Z-1 = (X + iy) + (a + ib) = 0
Step 2: Combine Like term, we get
(X + a) + i (y + b) = 0
Step 3: By using zero product property, we can equating as
X + a = 0 and i (y + b) = 0
X = -a and y = -b
Thus the additive inverse of the complex numbers X + iy = -X – iy
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