How do you solve \frac{x}{x^2-36}+\frac{1}{x-6}=\frac{1}{x+6}xx236+1x6=1x+6?

1 Answer
Nov 13, 2014

x/{x^2-36}+1/{x-6}=1/{x+6}xx236+1x6=1x+6

by factoring out the denominator of the first term,

=>x/{(x-6)(x+6)}+1/{x-6}=1/{x+6}x(x6)(x+6)+1x6=1x+6

by multiplying by (x-6)(x+6)(x6)(x+6),

=>x+(x+6)=(x-6)x+(x+6)=(x6)

by subtracting xx,

=>x+6=-6x+6=6

by subtracting 66,

=> x=-12x=12


I hope that this was helpful.