Basic Manipulation.

Calculus Level 3

If x,y,zx,y,z are real numbers and 3x+4y+5z=102\displaystyle 3x+4y+5z=10\sqrt{2} then the least value of x2+y2+z2\displaystyle x^{2}+y^{2}+z^{2} is:

This problem is a part of the set advanced is basic
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