find-the-minimum-value-of-function-f-x-x-2-4-x-2-8x-12-x-25-x-2-4-x-2-16x-16-x-80-

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 179570 by infinityaction last updated on 30/Oct/22

find the minimum value of function f(x)=(√(x^2 +(4/x^2 )−8x−((12)/x)+25)) + (√(x^2 +(4/x^2 )+−16x−((16)/x)+80))

$$\mathrm{find}\:\mathrm{the}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of}\:\mathrm{function} \\ $$$$\boldsymbol{\mathrm{f}}\left(\boldsymbol{\mathrm{x}}\right)=\sqrt{\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\frac{\mathrm{4}}{\boldsymbol{\mathrm{x}}^{\mathrm{2}} }−\mathrm{8}\boldsymbol{\mathrm{x}}−\frac{\mathrm{12}}{\boldsymbol{\mathrm{x}}}+\mathrm{25}}\:+\:\sqrt{\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\frac{\mathrm{4}}{\boldsymbol{\mathrm{x}}^{\mathrm{2}} }+−\mathrm{16}\boldsymbol{\mathrm{x}}−\frac{\mathrm{16}}{\boldsymbol{\mathrm{x}}}+\mathrm{80}} \\ $$

Answered by a.lgnaoui last updated on 01/Nov/22