SOLUTION: 1.what is the product of the complex numbers (3+i) and (3-i)? 2.If i=the square root of _1,show the location of 5_2i on a graph? 3.If i=the square root of _1,what is the value of

Algebra ->  Vectors -> SOLUTION: 1.what is the product of the complex numbers (3+i) and (3-i)? 2.If i=the square root of _1,show the location of 5_2i on a graph? 3.If i=the square root of _1,what is the value of      Log On


   



Question 431778: 1.what is the product of the complex numbers (3+i) and (3-i)?
2.If i=the square root of _1,show the location of 5_2i on a graph?
3.If i=the square root of _1,what is the value of i the power of 4?
4.If i=the square root of _1 and a and b are non-zero numbers,what is 1/(a+bi)

PLEASE HELP ME ,THANK YOU FOR WILLING TO HELP ME

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1.what is the product of the complex numbers (3+i) and (3-i)?
= 3%5E2+-+i%5E2+=+9+-%28-1%29+=+10
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2.If i=the square root of _1,show the location of 5_2i on a graph?
I think you mean -1, not underscore 1.
Usually the i-axis is the direction of the y-axis on x-y plots, so it would bt 5 to the right and 2 up, or (5,2) in x-y systems.
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3. what is the value of i the power of 4?
i%5E4+=+%28i%5E2%29%5E2+=+%28-1%29%5E2+=+1
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4.If a and b are non-zero numbers,what is 1/(a+bi)
Multiply NUM and DEN by the conjugate of the DEN a-bi
1/(a+bi) = (a-bi)/(a^2 + b^2)