SOLUTION: 2/ (5+3i) simplify and show all work the i ---is the italic i - an imaginary number

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Question 1038261: 2/ (5+3i)
simplify and show all work
the i ---is the italic i - an imaginary number
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
2%2F%28%285%2B3i%29%29
multiply by the conjugate of the denominator, over itself
2%2F%28%285%2B3i%29%29 * %28%285-3i%29%29%2F%28%285-3i%29%29 = 2%285-3i%29%2F%28%2825+-+9i%5E2%29%29 = %2810-6i%29%2F%28%2825+-+9%28-1%29%29%29 = %2810-6i%29%2F%28%2825+%2B+9%29%29 = %2810-6i%29%2F34
reduce the fraction
%285-3i%29%2F17