f(x)=[sqrt((x-68)^2 + x^3-116x^2-417x+267460)] - 10

To find the minimum value of we need to check the value at the following three points (in increasing order). (You will need to use a numerical method, like Newton-Raphson to find one of these points.)

x1=? x2=? x3=?

1 answer

Does this question tie in somehow with the question you had posted in

http://www.jiskha.com/display.cgi?id=1258707548 ?

The second equation is identical.

BTW, did you ever take a look at the solution I gave you then?
Sometimes it is frustrating to have spent quite a bit of time solving a problem, and then not even knowing if the student that posted the question even looks at it.
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