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x-2-1-x-2-3-thrn-find-the-valu-of-x-1-x-2-




Question Number 26115 by ktomboy1992 last updated on 21/Dec/17
x^2 +(1/x^2 )=3 thrn find the valu of( x−(1/x))^2
$$\mathrm{x}^{\mathrm{2}} +\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}} }=\mathrm{3}\:\mathrm{thrn}\:\mathrm{find}\:\mathrm{the}\:\mathrm{valu}\:\mathrm{of}\left(\:\mathrm{x}−\frac{\mathrm{1}}{\mathrm{x}}\right)^{\mathrm{2}} \\ $$
Answered by $@ty@m last updated on 20/Dec/17
(x−(1/x))^2 =x^2 +(1/x^2 )−2=3−2=1
$$\left({x}−\frac{\mathrm{1}}{{x}}\right)^{\mathrm{2}} ={x}^{\mathrm{2}} +\frac{\mathrm{1}}{{x}^{\mathrm{2}} }−\mathrm{2}=\mathrm{3}−\mathrm{2}=\mathrm{1} \\ $$

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