Try for fun, Solve for x where (x^3)-15x=126
Pl dont post the solution. Post result only OR msg me.
Posting for posterity. Would like to see a hand-done solution.
id like to see a toe done solution meself :)
3x^2-15 = 0 when x = +-sqrt(15/3) 6x = 0 when x=0 , so this changes concavity at x=0 we have no undefined points id say it has to be when x is greater than sqrt(15/3) so far :)
I wonder if you can take the mean distance between change points in concavity, and find the \(x\) that way. That's what I tried, but I have a headache and math seems to be difficult right now. :c
x^3 - 15x =126 => x^3 - 15 x - 126 =0 =>x^3 + 6x^2 + 21x - 6x^2 - 36x - 126=0 should be easier now..
another way can be rational root theorem..
x=6 x=(+/-sqrt-12)-3=(+/-)(2*sqrt-3)-3
i got x = 6 by noticing that if you add 90 = 15(6) to 126 you get a lovely cube :)
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