Question

What is the additive inverse of non complex 9

Answer 1

the additive inverse of non complex 9 is -9 .

Step-by-step explanation:

Complex number is said to be the sum of whole numbers and imaginary numbers.The additive inverse of the any number is the changing the sign of the number. That is instead –ve sign is positive and vice versa.

Additive Inverse of 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 $X + iy = -X - iy$ .

Now, additive inverse of $9+0i$ = $-9-0i=-9$ .

Therefore , the additive inverse of non complex 9 is -9 .