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Solve: x squared - 2x + 17 = 0. I have the answer but I don't know how to show the work. Can anyone help?
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Are there factors of 17 you can think of that also add to give you a negative 2? That is, is there 2 numbers that multiply to give you 17 but add to -2?
Mmm well, factors of 17 are either +1 and +17 which add to 18 or -1 and -17 which add to -18. Definitely NOT the coefficient of the middle term(which is -2). So it looks like I'm not going to be able to factor this using this method. Can you think of another method that might work?
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