Question

4/(x-5)+5/2=9/(x+5)

Answer 1

From here:
\[\frac{4}{x-5}+\frac{5}{2}=\frac{9}{x+5}\]
The trick is to use your GCD (greatest common denominator), multiply it to both sides of the equation, and then cancel out stuff:
\[\frac{4(2)(x+5)\cancel{(x-5)}}{\cancel{x-5}}+\frac{5\cancel{(2)}(x+5)(x-5)}{\cancel{2}}=\frac{9(2)\cancel{(x+5)}(x-5)}{\cancel{x+5}}\]

Answer 2

Remember to F.O.I.L. the middle term (first outer middle last)

Answer 3

And welcome to OpenStudy @getexcool :-D

Answer 4

Thanks alot @agentx5

Answer 5

^_^

Answer 6

so the correct answer is x=1 @agentx5
i used the quadractic formula to finish the equation

Answer 7

That is correct. -1 + 5/2 = 3/2 ;-)