self Maths Puzzle

If 7 points X1, X2, ..., X7 are chosen on a straight line in that order (but not necessarily evenly spaced), and Y is an arbitrary point on the line and S is the sum of the distances YX1, YX2, ..., YX7, then S is minimized when the point Y is

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self Other Question

On planet dorba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny plantoids called ameeba start growing on the rocks. ameeba grows in the form of a circle and the relationship between the diameter of this circle and the age of ameeba is given by the formula d=7 * √ (t - 9) for t ≥ 9

where d represents the diameter in mm and t the number of years since the solar blast.

Jagan recorded the radius of some ameeba at a particular spot as 8mm. How many years back did the solar blast occur?
The maximum possible value of (5x - 25x) over all real values of x is