Question Number 86498 by ram roop sharma last updated on 29/Mar/20
$$\mathrm{If}\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{4}{x}+\mathrm{1}}}\left\{\left(\frac{\mathrm{1}+\sqrt{\mathrm{4}{x}+\mathrm{1}}}{\mathrm{2}}\right)^{{n}} −\:\left(\frac{\mathrm{1}−\sqrt{\mathrm{4}{x}+\mathrm{1}}}{\mathrm{2}}\right)^{{n}} \right\} \\ $$$$\:\:\:\:=\:{a}_{\mathrm{0}} +{a}_{\mathrm{1}} {x}+…+{a}_{\mathrm{5}} {x}^{\mathrm{5}} ,\:\mathrm{then}\:{n}= \\ $$