MATH 1201 Unit 4 Challenge 4 Complex Numbers and College Algebra in Context- Pennsylvania State University

Unit 4, Challenge 4: Complex
Numbers and College Algebra in
Context
Imaginary and Complex
Numbers

If you have , this is the same as . Recall that , or
, equals . There are four sets of that can be replaced with
:




Which of the following is equivalent to ?


• c.)Correct.If you have , this is the same

as . Recall that , or , equals . There are

, three sets of that can be replaced with :




Which of the following is equivalent to ?



• b.)Correct.If you have , this is the same as .

Recall that , or , equals . There are three sets of
that can be replaced with :




Add and Subtract Complex
Numbers
Find the sum of the following expression:

, a.)Correct.
When adding complex numbers, you will add the real numbers
together and add the imaginary parts together. The two real
numbers equal The two imaginary parts equal
. Together, this expression equals .


Find the difference of the following expression:




Find the difference of the following expression:




• b.)Correct.When subtracting complex numbers, you will
subtract the real numbers from each other and subtract the
imaginary parts from each other. The two real numbers equal
. The two imaginary parts equal .
Together, this expression equals .


Find the difference of the following expression:




• c.)Correct.When subtracting complex numbers, you will
subtract the real numbers from each other and subtract the
imaginary parts from each other. The two real numbers equal