Subtract the following complex numbers:(2 + 2i) - (14 + 16i)A.-12 + 18iB.12 + 18iC.12 - 14iD.-12 - 14iSUBMITarrow_backPREVIOUS
Question
Subtract the following complex numbers:
A. -12 + 18i
B. 12 + 18i
C. 12 - 14i
D. -12 - 14i
SUBMIT
arrow_back
PREVIOUS
Solution
Break Down the Problem
- Identify the complex numbers involved:
- First complex number:
- Second complex number:
- Determine the operation:
- We need to perform the subtraction .
Relevant Concepts
To subtract complex numbers, we can use the formula: where and .
Analysis and Detail
- Apply the formula using the provided complex numbers:
- Real part:
- Imaginary part:
- Combine the results:
Verify and Summarize
By evaluating the real and imaginary parts, the subtraction has been verified. The calculations show that the subtraction of the two complex numbers results in .
Final Answer
The result of the subtraction is . The correct option is D. -12 - 14i.
Similar Questions
Subtract the following complex numbers:(2 + 2i) - (14 + 16i)A.-12 + 18iB.12 + 18iC.12 - 14iD.-12 - 14iSUBMITarrow_backPREVIOUS
Subtract the following complex numbers:(11 - 9i) - (15 - 12i)A.-4 - 21iB.-4 + 3iC.4 + 3iD.4 - 21iSUBMITarrow_backPREVIOUS
Multiply the following complex numbers:(7 + 2i)(2 + 3i)A.8 - 25iB.20 - 25iC.8 + 25iD.20 + 25iSUBMITarrow_backPREVIOUS
Write a program to overload arithmetic minus operator for subtracting two complex numbers (use constructors also).
Find the values of $x$x and $y$y that satisfy the equation.$2x-yi=14+12i$2x−yi=14+12i$x=$x= and $y=$y=
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.