SOLUTION: Determine whether the equation is an identity, a conditional equation, or an inconsistant equation. 1/(x+5) + 2/(x+3) = -2/(x^2 + 8x +15)

Algebra ->  Equations -> SOLUTION: Determine whether the equation is an identity, a conditional equation, or an inconsistant equation. 1/(x+5) + 2/(x+3) = -2/(x^2 + 8x +15)      Log On


   

Question 107634: Determine whether the equation is an identity, a conditional equation, or an inconsistant equation.
1/(x+5) + 2/(x+3) = -2/(x^2 + 8x +15)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%28x%2B5%29+%2B+2%2F%28x%2B3%29+=+%28-2%29%2F%28x%5E2+%2B+8x+%2B15%29
1%2F%28x%2B5%29+%2B+2%2F%28x%2B3%29+=+%28-2%29%2F%28x%2B3%29%28x%2B5%29%29

%28x%2B3%29%2B+2%28x%2B5%29+=+-2
x%2B3%2B+2x%2B10+=+-2
3x%2B13=-2
3x%2B13=-2
3x=-15
x=-5
Since (x+5) is in the denominator on the right hand side of the equation,
we made the assumption that x=-5 and x=-3 were not solutions to avoid division by zero.
Since we derived that x=-5, there is no solution(inconsistent).