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 Apr12 awarded Popular Question Jul2 awarded Curious Dec20 comment Calculate base and coefficient for power curve through 3 non-linear points Thanks. I had another problem that apparently also requires Newton's method to solve. I have a personal friend who's up on them. Time to speak to him. I appreciate your time & help. Dec20 accepted Calculate base and coefficient for power curve through 3 non-linear points Dec20 comment Calculate base and coefficient for power curve through 3 non-linear points Thanks for your answer. So basically, the bottom line is there isn't a straightforward formula. My current algorithm takes about 131 steps to get the result accurate to the maximum 64 bit floating point resolution, guaranteed. Dec19 revised Calculate base and coefficient for power curve through 3 non-linear points added 72 characters in body Dec19 comment Calculate base and coefficient for power curve through 3 non-linear points Whatever the value of B, it results in x mapping to the second bucket (#1, #0 being first). Dec19 revised Calculate base and coefficient for power curve through 3 non-linear points deleted 8 characters in body Dec19 revised Calculate base and coefficient for power curve through 3 non-linear points added 95 characters in body Dec19 comment Calculate base and coefficient for power curve through 3 non-linear points $r$ is part of the unknown formula that I need in order to find $b$ and $R$. Yes, I could scrap $r$ and call it $B$. The graph should be stepped, but I was merely trying to show it's curved. Maybe I should remove it. Dec19 revised Calculate base and coefficient for power curve through 3 non-linear points added 270 characters in body Dec19 comment Calculate base and coefficient for power curve through 3 non-linear points I hope my edits help clarify the question. $r=B$ Dec19 revised Calculate base and coefficient for power curve through 3 non-linear points added 270 characters in body Dec19 revised Calculate base and coefficient for power curve through 3 non-linear points deleted 48 characters in body Dec19 revised Calculate base and coefficient for power curve through 3 non-linear points added 123 characters in body Dec19 revised Calculate base and coefficient for power curve through 3 non-linear points added 133 characters in body Dec19 revised Calculate base and coefficient for power curve through 3 non-linear points added 133 characters in body Dec19 comment Calculate base and coefficient for power curve through 3 non-linear points Why the downvote? Only useful with explanation. Dec19 asked Calculate base and coefficient for power curve through 3 non-linear points Sep5 revised Formula for intersection of “power” curve and parabola. added 15 characters in body