SOLUTION: solve the equation 1+ (5x/(x+3)(x+6)) = 2/(x+3) + 5/(x+6)

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Question 401333: solve the equation 1+ (5x/(x+3)(x+6)) = 2/(x+3) + 5/(x+6)
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
solve the equation 1+ (5x/(x+3)(x+6)) = 2/(x+3) + 5/(x+6)
+1%2B+%285x%2F%28x%2B3%29%28x%2B6%29%29+=+2%2F%28x%2B3%29+%2B+5%2F%28x%2B6%29
...
+1=+2%2F%28x%2B3%29+%2B+5%2F%28x%2B6%29-+%285x%2F%28x%2B3%29%28x%2B6%29%29
..
LCD= (x+3)(x+6)
..
multiply by = (x+3)(x+6)
...
%28x%2B3%29%28x%2B6%29=%282%28x%2B6%29%2B5%28x%2B3%29-5x%29
..
%28x%2B3%29%28x%2B6%29=%282x%2B12%2B5x%2B15-5x%29
...
x^2+9x+18=2x+27
..
x^2+7x-9=0
Find the roots of the equation by quadratic formula
a= 1 , b = 7 , c = -9 .
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
b^2-4ac=85

x1=%28-7%2Bsqrt%2885%29%29%2F%282%29
x1=1.109
...
x2=%28-7-sqrt%2885%29%29%2F%282%29
x2=-8.109
...
m.ananth@hotmail.ca