Category: Algebra

Question Number 62045 by hovea cw last updated on 14/Jun/19 $$\mathrm{help}$$$$$$$${(\mathrm{x}+1)}^{1/2}+{({\mathrm{x}}^2-1)}^{1/3}=4$$$$\mathrm{find}\mathrm{x}$$ Answered by MJS…

Question Number 62023 by aliesam last updated on 14/Jun/19 Commented by MJS last updated on 14/Jun/19 $$\mathrm{French}\mathrm{pgcd}(x,y)\mathrm{is}\mathrm{English}\gcd (x,y)$$ Commented by MJS last updated on…

Question Number 127547 by Mathgreat last updated on 30/Dec/20 Answered by mr W last updated on 31/Dec/20 Commented by mr W last updated on 31/Dec/20…

Question Number 127519 by O Predador last updated on 30/Dec/20 Answered by mahdipoor last updated on 30/Dec/20 $$0.0833\dots =0.08\stackrel{-}{3}=0.08+0.00\stackrel{-}{3}=$$$$\frac{\mathrm{8}}{\mathrm{100}}+\frac{\mathrm{1}}{\mathrm{300}}=\frac{\mathrm{25}}{\mathrm{300}}=\frac{\mathrm{1}}{\mathrm{12}}=\frac{\mathrm{1}×\mathrm{2}}{\mathrm{1}×\mathrm{2}×\mathrm{3}×\mathrm{4}}=\frac{\mathrm{2}!}{\mathrm{4}!}=\frac{\left[{log}_{\mathrm{2}} \left({x}^{\mathrm{2}} \right)−\mathrm{2}\right]!}{\left[{log}_{\mathrm{2}} \left({x}\right)+\mathrm{2}\right]!}…

Question Number 193045 by Trent1111 last updated on 02/Jun/23 $$whatistheHCFof$$$$8k+1and9k?wherek\in {\mathbb{Z}}^{+}$$ Answered by MM42 last updated on 02/Jun/23 $$(8k+1,9k)=d$$$${d}\mid\mathrm{8}{k}+\mathrm{1}\:\Rightarrow{d}\mid\mathrm{72}{k}+\mathrm{9}\:\:\: \…