SOLUTION: Solve the following equation for x, 1/x-2 + 5/x+2 = 7x/x^2-4. The solution is x=?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve the following equation for x, 1/x-2 + 5/x+2 = 7x/x^2-4. The solution is x=?      Log On


   

Question 395316: Solve the following equation for x, 1/x-2 + 5/x+2 = 7x/x^2-4. The solution is x=?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Note:  x^2-4 = (x-2)(x+2)

1/x-2 + 5/x+2 = 7x/x^2-4 |Multiplying thru by (x-2)(x+2)so as all denominators=1

 (x+2) + 5(x-2) = 7x

  6x - 8 = 7x

       -8 = x



CHECKING our Answer

 -1/10 -5/6 = -6/60 - 50/60 =  -56/60