SOLUTION: Solve for the positive value for x, to the nearest tenth: (1/x)+ (1/(x +3))=2

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Question 351446: Solve for the positive value for x, to the nearest tenth: (1/x)+ (1/(x +3))=2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply both sides by x%28x%2B3%29
%28x%2B3%29%2B+%28x%29=2x%28x%2B3%29
2x%2B3=2x%5E2%2B6x
2x%5E2%2B4x-3=0
2%28x%5E2%2B2x%29-3=0
2%28x%5E2%2B2x%2B1%29-3=2
2%28x%2B1%29%5E2=5
%28x%2B1%29%5E2=5%2F2
x%2B1=0+%2B-+sqrt%285%2F2%29
+x=+-1+%2B-+sqrt%2810%29%2F2
The positive value:
x=-1%2Bsqrt%2810%29%2F2
x=0.5811
To the nearest tenth,
highlight%28x=0.6%29