SOLUTION: my college grad parents have failed me on this: (x-1)2 - (x+1)2=4 solve for x

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Question 647919: my college grad parents have failed me on this:
(x-1)2 - (x+1)2=4
solve for x

Found 2 solutions by Algebraic, MathTherapy:
Answer by Algebraic(50) About Me  (Show Source):
You can put this solution on YOUR website!
I think this is what you meant when posting your problem: %28x-1%29%5E2+-+%28x%2B1%29%5E2=4
Firstly, we must rewrite this problem so it is easier to understand.
Step 1: Rewrite the problem without having to use powers
%28x-1%29%5E2+-+%28x%2B1%29%5E2=4
%28x-1%29%28x-1%29+-+%28x%2B1%29%28x%2B1%29=4
Step 2: Distribute the left side parenthesis
%28x-1%29%28x-1%29+-+%28x%2B1%29%28x%2B1%29=4
%28x%5E2+-+x+-+x+%2B1%29+-+%28x%2B1%29%28x%2B1%29=4
Step 3: Distribute the right side parenthesis
%28x%5E2+-+x+-+x+%2B1%29+-+%28x%5E2+%2B+x+%2B+x+%2B+1%29=4
Step 4: Combine like terms
%28x%5E2+-+x+-+x+%2B1%29+-+%28x%5E2+%2B+x+%2B+x+%2B+1%29=4
%28x%5E2+-+2x+%2B1%29+-+%28x%5E2+%2B+2x+%2B+1%29=4
Step 4: Continue combining like terms
%28x%5E2+-+2x+%2B1%29+-+%28x%5E2+%2B+2x+%2B+1%29=4
All of the terms cancel out, giving you 0
What you get: 0 = 4
This means that this equation is inconsistent, meaning that there are no solutions for this system.
0 cannot be equal to 4.
The answer is no solution.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

my college grad parents have failed me on this:
(x-1)2 - (x+1)2=4
solve for x

%28x+-+1%29%5E2+-+%28x+%2B+1%29%5E2+=+4

x%5E2+-+2x+%2B+1+-+%28x%5E2+%2B+2x+%2B+1%29+=+4 ----- FOILing the binomials

x%5E2+-+2x+%2B+1+-+x%5E2+-+2x+-+1+=+4 ----- Distributing

x%5E2+-+x%5E2+-+2x+-+2x+%2B+1+-+1+=+4 ------ Collecting like-terms

-+4x+=+4

x = 4%2F-+4, or highlight_green%28x+=+-+1%29

You can do the check!!!

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