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Question Number 95901 by bobhans last updated on 28/May/20

$$\frac{1}{998!}+\frac{1}{999!}=\frac{{\mathrm{x}}^3}{100!}$$

Answered by i jagooll last updated on 28/May/20

$$\frac{999}{999\times 998!}+\frac{1}{999!}=\frac{{\mathrm{x}}^3}{100!}$$$$\frac{1000}{999!}=\frac{{\mathrm{x}}^3}{100!}$$$$\mathrm{x}=\sqrt[3]{\frac{1000\times 100!}{999!}}=10\sqrt[3]{\frac{100!}{999!}}$$

Commented by bobhans last updated on 28/May/20

$$\mathrm{yes}$$

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