SOLUTION: f(x)=x+5 and g(x)=3/x-5 I am stuck after I get the LCD x+5=3/x-5 x^2-25=3 x^2-28=0

Algebra ->  Algebra  -> Radicals -> SOLUTION: f(x)=x+5 and g(x)=3/x-5 I am stuck after I get the LCD x+5=3/x-5 x^2-25=3 x^2-28=0      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 190586: f(x)=x+5 and g(x)=3/x-5
I am stuck after I get the LCD
x+5=3/x-5
x^2-25=3
x^2-28=0
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
x%2B5=3%2F%28x-5%29 Start with the given equation.


%28x%2B5%29%28x-5%29=3 Multiply both sides by x-5.


x%5E2-25=3 FOIL


x%5E2=3%2B25 Add 25 to both sides.


x%5E2=28 Combine like terms.


x=%27%27%2B-sqrt%2828%29 Take the square root of both sides


x=sqrt%2828%29 or x=-sqrt%2828%29 Break up the "plus/minus"


x=2%2Asqrt%287%29 or x=-2%2Asqrt%287%29 Simplify the square root.


So the solutions are x=2%2Asqrt%287%29 or x=-2%2Asqrt%287%29