Question Number 95901 by bobhans last updated on 28/May/20
$$\frac{\mathrm{1}}{\mathrm{998}!}\:+\:\frac{\mathrm{1}}{\mathrm{999}!}\:=\:\frac{\mathrm{x}^{\mathrm{3}} }{\mathrm{100}!}\: \\ $$
Answered by i jagooll last updated on 28/May/20
$$\frac{\mathrm{999}}{\mathrm{999}×\mathrm{998}!}\:+\:\frac{\mathrm{1}}{\mathrm{999}!}\:=\:\frac{\mathrm{x}^{\mathrm{3}} }{\mathrm{100}!} \\ $$$$\frac{\mathrm{1000}}{\mathrm{999}!}\:=\:\frac{\mathrm{x}^{\mathrm{3}} }{\mathrm{100}!} \\ $$$$\mathrm{x}\:=\:\sqrt[{\mathrm{3}\:\:}]{\frac{\mathrm{1000}×\mathrm{100}!}{\mathrm{999}!}}\:=\:\mathrm{10}\:\sqrt[{\mathrm{3}\:}]{\frac{\mathrm{100}!}{\mathrm{999}!}}\: \\ $$
Commented by bobhans last updated on 28/May/20
$$\mathrm{yes} \\ $$