Question

Solve: (x+5)/(x^2+x)=1/(x^2+x)-(x-6)/(x+1)

Answer 1

@jim_thompson5910 @dpaInc @Mertsj

Answer 2

\[\frac{x+5}{x(x+1)}=\frac{1}{x(x+1)}-\frac{x-6}{x+1}\]

Answer 3

Common denominator is x(x+1). Clear fractions by multiplying by it:

Answer 4

\[x+5=1-x(x-6)\]

Answer 5

\[x+5=1-x^2+6x\]
\[x^2-5x+4=0\]
\[(x-4)(x-1)=0\]
x=4 or x=1

Answer 6

Thank you so much! =)

Answer 7

yw