SOLUTION: Solve the following rational equation 1 over x+3 + 1 over x+4 = 1

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Question 965247: Solve the following rational equation
1 over x+3 + 1 over x+4 = 1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%28x%2B3%29%2B1%2F%28x%2B4%29=1
Multiply both sides by %28x%2B3%29%28x%2B4%29
%28x%2B4%29%2B%28x%2B3%29=%28x%2B3%29%28x%2B4%29
2x%2B7=x%5E2%2B7x%2B12
x%5E2%2B5x%2B5=0
Complete the square,
x%5E2%2B5x%2B%285%2F2%29%5E2%2B5=%285%2F2%29%5E2
%28x%2B5%2F2%29%5E2=25%2F4-20%2F4
%28x%2B5%2F2%29%5E2=5%2F4
x%2B5%2F2=0+%2B-+sqrt%285%29%2F2
x=-5%2F2+%2B-+sqrt%285%29%2F2
x=%28-5+%2B-+sqrt%285%29%29%2F2
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