Question Number 186165 by ajfour last updated on 01/Feb/23
Answered by mr W last updated on 01/Feb/23
$$\frac{{c}}{{x}}=\frac{{x}−\mathrm{1}}{\:\sqrt{{x}^{\mathrm{2}} −\left({x}−\mathrm{1}\right)^{\mathrm{2}} }}=\frac{{x}−\mathrm{1}}{\:\sqrt{\mathrm{2}{x}−\mathrm{1}}} \\ $$$${x}\left({x}−\mathrm{1}\right)={c}\sqrt{\mathrm{2}{x}−\mathrm{1}} \\ $$$${x}^{\mathrm{4}} −\mathrm{2}{x}^{\mathrm{3}} +{x}^{\mathrm{2}} −\mathrm{2}{c}^{\mathrm{2}} {x}+{c}^{\mathrm{2}} =\mathrm{0} \\ $$$$… \\ $$