SOLUTION: Solve for x in the equation x+5/x=2 and express the roots in simplest a+bi form.

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Question 1003888: Solve for x in the equation x+5/x=2 and express the roots in simplest a+bi form.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

solve for x in the equation x%2B5%2Fx=2

%28x%5E2%2B5%29%2Fx=2

%28x%5E2%2B5%29=2x

x%5E2-2x%2B5=0

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A1%2A5+%29%29%2F%282%2A1%29+

x+=+%282+%2B-+sqrt%28+4-20+%29%29%2F2+

x+=+%282+%2B-+sqrt%28+-16+%29%29%2F2+

x+=+%282+%2B-+sqrt%28+-1%2A4%5E2+%29%29%2F2+

x+=+%282+%2B-+4i%29%2F2+

x+=+%281+%2B-+2i%29

solutions:
x+=+1+%2B+2i
x+=+1+-+2i