SOLUTION: x squared over x-2 = 4 over x-2. whats x? teacher told me answer is -2... but I get positive 2... please help me on this

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Question 306108: x squared over x-2 = 4 over x-2.
whats x? teacher told me answer is -2...
but I get positive 2...
please help me on this
Found 2 solutions by richwmiller, Edwin McCravy:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
If you want our help you have to at least write it correctly
Go back to the submit page and read about squared and square root.
You also have to use correctly the math symbols +-=* and /

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2%2F%28x-2%29=4%2F%28x-2%29

Multiply through by x-2

However since we are multiplying thorugh by a variable
we will have to check our answers at the end.

x%5E2=4

x=%22%22%2B-sqrt%284%29

x = ±2

We get two solutions +2 and -2, but we must check
them both in the original equation since we multiplied 
through by a variable:

Substitute +2 for x

x%5E2%2F%28x-2%29=4%2F%28x-2%29
2%5E2%2F%282-2%29=4%2F%282-2%29
4%2F0=4%2F0

Division by 0 is not defined.  So we can rule out +2

Substitute -2 for x

x%5E2%2F%28x-2%29=4%2F%28x-2%29
%28-2%29%5E2%2F%28-2-2%29=4%2F%28-2-2%29
4%2F%28-4%29=4%2F%28-4%29
-1=-1

So -2 is the only solution.

Edwin