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You'll always have two answers, one where you put a negative sign in front of whatever was inside the abs. value and one where you leave it as it was
|dw:1328466152526:dw| this is the solution to that first branch where there's a negative sign in front of everything
|dw:1328466299763:dw| this is the solution to the 2nd equation, where you leave whatever was inside the absolute value by itself
I figured out the answer is no solution for some reason.
Is that the answer in the back of the book? Because I'm pretty sure there IS an answer.
Okay, I see. The steps are all right, I just forgot to plug the answers back into the original equations to see whether they worked. My bad.
Yeah, if you plug in my answers into the original equation they don't work. So the answers I got don't work when you plug them back in. I believe the term is called 'extraneous solutions': solutions that exist when you solve the equation, but aren't actually the answer to the original problem.
hold the phone!!
you have an absolute value on the left, and a negative number on the right. stop right there because the abosolute value is never negative
Bollocks. How'd I miss that. I just did extra work to realize that you could never get an answer. Poop.
I suppose I did prove that statement, though. Heh.