-(3%2F2%2B1%2F2i).jpeg "(-3+8i)-(3/2+1/2i)")
Subtracting Complex Numbers: (-3 + 8i) - (3/2 + 1/2i)
This article will walk through the process of subtracting the complex numbers (-3 + 8i) and (3/2 + 1/2i).
Understanding Complex Numbers
Complex numbers are numbers that can be expressed in the form a + bi, where 'a' and 'b' are real numbers, and 'i' is the imaginary unit, defined as the square root of -1.
Subtracting Complex Numbers
To subtract complex numbers, we subtract the real parts and the imaginary parts separately.
Let's apply this to our problem:
(-3 + 8i) - (3/2 + 1/2i)
1. Combine the Real Parts:
-3 - 3/2 = -9/2
2. Combine the Imaginary Parts:
8i - 1/2i = 15/2i
3. Combine the Results:
The result of the subtraction is: -9/2 + 15/2i
Conclusion
By subtracting the real and imaginary parts separately, we have successfully subtracted the complex numbers (-3 + 8i) and (3/2 + 1/2i), obtaining the result -9/2 + 15/2i.