SOLUTION: x over x+1 + 5 over x = 1 over x^2+x i'ved worked on this problem can't seem to get the right answer. the book says the answer is -4 please show me how they get this than

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: x over x+1 + 5 over x = 1 over x^2+x i'ved worked on this problem can't seem to get the right answer. the book says the answer is -4 please show me how they get this than      Log On


   

Question 43539: x over x+1 + 5 over x = 1 over x^2+x
i'ved worked on this problem can't seem to get the right answer.
the book says the answer is -4
please show me how they get this
thanks
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2F%28x%2B1%29%29+%2B+5%2Fx+=+1%2F%28x%5E2+%2B+x%29
%28x%2F%28x%2B1%29%29+%2B+5%2Fx+=+1%2F%28x%28x+%2B+1%29%29

x+%2B+%285%28x%2B1%29%29%2Fx+=+1%2Fx
xx+%2B+%285%28x%2B1%29x%29%2Fx+=+x%2Fx
x%5E2+%2B+5%28x%2B1%29+=+1
x%5E2+%2B+5x+%2B+5+=+1
x%5E2+%2B+5x+%2B+4+=+0
%28x+%2B+1%29%28x+%2B+4%29+=+0
x+=+-1 and x+=+-4
Negative one can not work because dividing by zero makes the statement undefined.