SOLUTION: Solve for x: {{{(2/(x+2))+(1/(x+1))=1}}}
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-> SOLUTION: Solve for x: {{{(2/(x+2))+(1/(x+1))=1}}}
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Algebra: Expressions involving variables, substitution
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Question 195078
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Solve for x:
Answer by
RAY100(1637)
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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