SOLUTION: How do I solve the following: x+1/x + x+4/x = 6

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Question 24955: How do I solve the following:
x+1/x + x+4/x = 6
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
x+%2B+1%2Fx+%2B+x+%2B+4%2Fx+=+6 Collect like-terms.
2x+%2B+5%2Fx+=+6 Combine terms on the left side.
%282x%5E2+%2B+5%29%2Fx+=+6 Multiply both sides of the equation by x
2x%5E2+%2B+5+=+6x Subtract 6x from both sides.
2x%5E2+-+6x+%2B+5+=+0 Solve by quadratic formula:x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x=%28-%28-6%29%2B-sqrt%28%28-6%29%5E2-4%282%29%285%29%29%29%2F2%282%29
x=%286%2B-sqrt%2836-40%29%29%2F4
x=%286%2B-sqrt%28-4%29%29%2F4
x+=3%2F2 +or- %281%2F2%29i
or, in decimal form:
x = 1.5 + or - 0.5i