SOLUTION: Show the steps that you would take to solve the following algebraically: 4- x/x-2= -2/x-2 What potential solution did you obtain? Explain why this is this not a solution.

Algebra ->  Square-cubic-other-roots -> SOLUTION: Show the steps that you would take to solve the following algebraically: 4- x/x-2= -2/x-2 What potential solution did you obtain? Explain why this is this not a solution.      Log On


   

Question 116236: Show the steps that you would take to solve the following algebraically:
4- x/x-2= -2/x-2
What potential solution did you obtain? Explain why this is this not a solution.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!


Show the steps that you would take to solve the following algebraically:
%284-+x%29%2F%28x-2%29=+-2%2F%28x-2%29………multiply both sides by x-2
%284-+x%29+%28x-2%29%2F%28x-2%29=+-2%28x-2%29%2F%28x-2%29……… cancelled out x-2
4-+x+=+-2………move -x to the right and -2 to the left
4%2B2+=+x+………
x+=+6………Answer

Proof:

%284-+x%29%2F%28x-2%29=+-2%2F%28x-2%29………plug in vale for x

%284-+6%29%2F%286-2%29=+-2%2F%286-2%29………
-+2%2F4=+-2%2F4………since the if both sides of the = sign are same, 6 is our solution