Question 401333
solve the equation 1+ (5x/(x+3)(x+6)) = 2/(x+3) + 5/(x+6)

{{{ 1+ (5x/(x+3)(x+6)) = 2/(x+3) + 5/(x+6)}}}
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{{{ 1= 2/(x+3) + 5/(x+6)- (5x/(x+3)(x+6))}}}

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 LCD= (x+3)(x+6)
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multiply by  = (x+3)(x+6)
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{{{(x+3)(x+6)=(2(x+6)+5(x+3)-5x)}}}
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{{{(x+3)(x+6)=(2x+12+5x+15-5x)}}}
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x^2+9x+18=2x+27
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x^2+7x-9=0

Find the roots of the equation by quadratic formula
a= 1  , b = 7  , c = -9    .

{{{x=(-b+-sqrt(b^2-4ac))/(2a)}}}
b^2-4ac=85


{{{x1=(-7+sqrt(85))/(2)}}}
x1=1.109
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{{{x2=(-7-sqrt(85))/(2)}}}
x2=-8.109
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