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A day full of math games & activities. Find one near you.
Select the correct answer from the choices given (13 + 4i) + n = 0 what is n?
0
1
-13 + 4i
-13 - 4i
Solution:
A complex number is the sum of a real number and an imaginary number.
A complex number is of the form a + ib and is usually represented by z.
Here both a and b are real numbers.
The value 'a' is called the real part which is denoted by Re(z), and 'b' is called the imaginary part Im(z). Also, ib is called an imaginary number.
To determine the value of n for (13 + 4i) + n = 0
We can make use of the additive inverse of complex numbers
z + (-z) = 0
Where -z = (-x, -y) for all (x, y) ∈ R
So we get
(13 + 4i) + (-13 - 4i) = 0
Therefore, the value of n is -13 - 4i.
Select the correct answer from the choices given (13 + 4i) + n = 0 what is n?
Summary:
The correct answer from the choices given (13 + 4i) + n = 0, n is -13 - 4i.
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