If I need to solve the equation x^2 + x = 5, I can recognize that it’s a quadratic equation, change it to x^2 + x - 5 = 0, and then plug into the quadratic formula. In general the way that math is taught, I recognize what type of problem it is, then use the techniques that I was told to use to solve that sort of problem.(adsbygoogle = window.adsbygoogle || []).push({});

How though did people figure out this sort of stuff? If I was given that same equation, but didn’t yet know how to solve quadratic equations, I’m not even sure where one would begin to try to solve it or to find some way to solve it.

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# B How are mathematical ideas discovered

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