SOLUTION: Solve for x: {{{(2/(x+2))+(1/(x+1))=1}}}

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Question 195078: Solve for x: %282%2F%28x%2B2%29%29%2B%281%2F%28x%2B1%29%29=1
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
2 / (x+2) + 1 / (x+1) = 1
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LCD is (x+2)(x+1),,,,,multiply all terms by LCD
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2(x+1) + 1(x+2) = (x+2)(x+1)
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2x +2 +x+2 = x^2 +3x +2
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0 = x^2 +0x -2
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2 = x^2
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x= sqrt2
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checking
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2/ (sqrt2 +2) + 1/ (sqrt2 +1) = 1
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.586 + .414 =1 =1 ,,,,ok