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anonymous
 5 years ago
Solve.
1/x  1/x+4 = 1/3
anonymous
 5 years ago
Solve. 1/x  1/x+4 = 1/3

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0are you still typing?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Is the 1/x+4 over both the x and 4 or just the x?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[1/x1/(x+4) = 1/3\] Multiply both sides by x: \[1x/(x+4) = x/3\] Write the left hand side as a single fraction: \[4/(x+4) = x/3\] Subtract x/3 from both sides: \[4/(x+4)x/3 = 0\] Write the left hand side as a single fraction: \[(x^24 x+12)/(3 (x+4)) = 0\] Multiply both sides by 3(x+4): \[x^24 x+12 = 0\] Solve the quadratic equation by completing the square: Divide both sides by 1: \[x^2+4 x12 = 0\] Add 12 to both sides: \[x^2+4 x = 12\] Add 4 to both sides: \[x^2+4 x+4 = 16\] Factor the left hand side: \[(x+2)^2 = 16\] Take the square root of both sides: \[x+2 = 4\] Eliminate the absolute value: \[x+2 = 4 or x+2 = 4\] Subtract 2 from both sides: \[x = 6 or x+2 = 4\] Subtract 2 from both sides: \[x = 6 or x = 2\]
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