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I don't understand why adding error in "factoring the error" helps in any way understand why we factor. It would have started with a factorized form with 0 on t
by bsaul 14y ago
I don't understand why adding error in "factoring the error" helps in any way understand why we factor.
It would have started with a factorized form with 0 on the right, saying that finding that a*b=0 is easy to solve because of the way 0 and multiply work together.
- maxerickson 14y ago(Apparently), people don't always understand that ax^2+bx=c is equivalent to ax^2+bx-c=0. So they don't see how factoring the latter reveals anything interesting about the former.
- kalid 14y agoExactly! In the real world you are trying to get some system (x^2 + x) into some desired state (2). In math class, we usually "pre-optimize" these equations to (x^2 + x - 2 = 0) and they look very different from the situations you have to set up on your own. I want to make the connection explicit.