Posted by Jaymie on Monday, September 28, 2009 at 11:52am.
I also need help with (x)/(x+4)+(4)/(x+4)+2=0. My book says there is no solution, but I got one. I got 6 equals x (the x+4's cancel each other out so x+4 +2=0 is left. Then I subtracted the two, got x+4=2. I subtracted the four and got x=6).

Algebra  Reiny, Monday, September 28, 2009 at 1:09pm
no, you are doing some very "creative" math there
let's multiply each term by x+4, that will cancel out the x+4 in the first two terms
x + 4 + 2(x+4) = 0
3x = 12
x = 4
BUT, when we test this answer, we would be dividing by zero, which of course if a big NONO
So the answer we got, does not work, so there is no solution.
Your book is right.
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