SOLUTION: Solve the following algebraically. You must show all your work. 1/4= 3- 2x-1/x+2

Algebra ->  Square-cubic-other-roots -> SOLUTION: Solve the following algebraically. You must show all your work. 1/4= 3- 2x-1/x+2      Log On


   

Question 116894: Solve the following algebraically. You must show all your work.
1/4= 3- 2x-1/x+2
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume you mean:
1%2F4 = 3 - %28%282x-1%29%29%2F%28%28x%2B2%29%29
:
Subtract 3 from both sides:
1%2F4- 3 = -%28%282x-1%29%29%2F%28%28x%2B2%29%29
:
1%2F4 - 12%2F4 = -%28%282x-1%29%29%2F%28%28x%2B2%29%29
:
-11%2F4 = -%28%282x-1%29%29%2F%28%28x%2B2%29%29
:
Get rid of the negatives multiply both sides by -1
11%2F4 = %28%282x-1%29%29%2F%28%28x%2B2%29%29
:
Cross multiply
11(x+2) = 4(2x-1)
:
11x + 22 = 8x - 4
:
11x - 8x = -4 - 22
:
3x = -26
:
x = -26/3 or ~-8.67
:
:
It's tedious to check this value by substitution, however, did check using a calc and this annoying solution does check out.