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Chapter 8: Q. 8.173 (page 842)

Divide, writing the answer in standard form:41-4i

Short Answer

Expert verified

The solution of the above equation is417+1617i

Step by step solution

01

Given information

We are given an equation41-4i

02

Multiply the numerator and denominator by thecomplex conjugate of the denominator.

41-4i脳1+4i1+4i

03

Multiply in the numerator and use the Product ofComplex Conjugates Pattern in the denominator.

4+16i1-16i24+16i1+16

04

Simplify

4+16i17

05

Write in standard form

In standard form it can be written as417+1617i

06

Conclusion

The solution of the above equation is417+1617i

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