SOLUTION: could someone help me solve for x in this expression? x+1/x+5=x+2/x+4 I am still struggling.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: could someone help me solve for x in this expression? x+1/x+5=x+2/x+4 I am still struggling.      Log On


   



Question 240938: could someone help me solve for x in this expression?
x+1/x+5=x+2/x+4 I am still struggling.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
solve for x in this expression?
x+1/x+5=x+2/x+4
:
Assume the problem is:
%28x%2B1%29%2F%28x%2B5%29 = %28x%2B2%29%2F%28x%2B4%29
Cross multiply and you have:
(x+5)*(x+2) = (x+1)*(x+4)
FOIL
x^2 + 7x + 10 = x^2 + 5x + 4
:
Group x's on the left, numbers on the right
x^2 - x^2 + 7x - 5x = 4 - 10
2x = -6
x = %28-6%29%2F2
x = -3
;
Leave it to you to substitute -3 for x in the original problem, and check for equality