Comment on A new way to make quadratic equations easyComments−bograt6yI have been using a technique that's almost identical to this for years, based simply on observing that the roots are symmetric around the min/maximum: differentiate, set to zero, then difference of squares.This cannot be an unrecorded technique can it?−mkl6yNo, it's basically what the quadratic formula does. (Well, all methods solve the same equation and get the same roots, so they have to be equivalent.)
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I have been using a technique that's almost identical to this for years, based simply on observing that the roots are symmetric around the min/maximum: differentiate, set to zero, then difference of squares.
This cannot be an unrecorded technique can it?
No, it's basically what the quadratic formula does. (Well, all methods solve the same equation and get the same roots, so they have to be equivalent.)