Question Number 191950 by Shrinava last updated on 04/May/23
$$\sqrt{\mathrm{a}}\:=\:\mathrm{1}\:+\:\frac{\mathrm{1}}{\mathrm{a}}\:\:\:\mathrm{find}:\:\:\:\mathrm{a}^{\mathrm{2}} −\mathrm{a}−\sqrt{\mathrm{a}}\:=\:? \\ $$
Answered by deleteduser1 last updated on 04/May/23
$$\frac{\mathrm{1}}{\:\sqrt{{a}}−\mathrm{1}}=\frac{\sqrt{{a}}+\mathrm{1}}{{a}−\mathrm{1}}={a}\Rightarrow{a}^{\mathrm{2}} −{a}−\sqrt{{a}}=\mathrm{1} \\ $$