
Write two

Answer to Problem 69HP
The two complex numbers are 2+4i and 2−4i.
Explanation of Solution
Given:
The given statement is that two complex numbers with a product of 20.
Calculation:
For 20 result, the middle terms cancel out and the first and last terms must add.
Let the first number =2+4i
And the second number =2−4i
Product =(2+4i)(2−4i)
Use FOIL method.
=2⋅2+2(−4i)+4i(2)+4i(−4i)=4−8i+8i−16i2=4−16i2i2=−1=4−16(−1)=4+16=20
Hence the two complex numbers are 2+4i and 2−4i.
Chapter 5 Solutions
Algebra 2
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