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=?

Salman,

Please make a point of indicating it is a repost if you post more than once. We don't want three teachers working on the same problem at the same time.