Category: Algebra

Question Number 188366 by a.lgnaoui last updated on 28/Feb/23 $$xlnx=7$$$$x?$$ Answered by mr W last updated on 28/Feb/23 $${e}^{\mathrm{ln}\:{x}} \mathrm{ln}\:{x}=\mathrm{7} \…

Question Number 188343 by Shrinava last updated on 28/Feb/23 $$\mathrm{Find}:\mathrm{\Omega }=\underset{\mathbf{n}=1}{\sum ^{\mathrm{\infty }}}\left(\underset{\mathbf{x}\to 0}{\lim }{(1-\frac{5-\sqrt{25-{\mathrm{x}}^2}}{\mathrm{x}})}^{\frac{5\mathbf{n}}{\mathbf{x}}}\right)$$ Answered by SEKRET last updated on 28/Feb/23 $$\:\:\underset{\boldsymbol{\mathrm{x}}\rightarrow\mathrm{0}}…

Question Number 57251 by ANTARES VY last updated on 01/Apr/19 Answered by tanmay.chaudhury50@gmail.com last updated on 01/Apr/19 $$T_n=\frac{n(n-1)}{\frac{1}{(n-1)!}+\frac{1}{(n-2)!}}$$$$=\frac{n(n-1)}{\frac{1+n-1}{(n-1)!}}\to (n-1)(n-1)!$$$$\left[\underset{{n}=\mathrm{3}} {\overset{\mathrm{2019}} {\sum}}\left({n}−\mathrm{1}\right)\left({n}−\mathrm{1}\right)!\right]+\mathrm{2}\rightarrow\boldsymbol{{S}}+\mathrm{2}…

Question Number 57244 by ANTARES VY last updated on 01/Apr/19 Commented by mr W last updated on 01/Apr/19 $$\frac{HC}{AH}=\frac{AH}{BH}$$$$\Rightarrow HC=\frac{3^2}{4}=\frac{9}{4}=2.25$$$$\Rightarrow{none}\:{of}\:{the}\:{answers}\:{is}\:{correct}. \…

Question Number 57222 by Tawa1 last updated on 31/Mar/19 $$\mathrm{Express}5.27\mathrm{in}\mathrm{form}\mathrm{of}\mathrm{a}\mathrm{series}\mathrm{and}\mathrm{show}\mathrm{that}\mathrm{is}\mathrm{equal}$$$$\mathrm{to}5\frac{5}{18}$$ Answered by Joel578 last updated on 01/Apr/19 $$\mathrm{5}.\mathrm{2}\overset{\_} {\mathrm{7}}\:=\:\mathrm{5}.\mathrm{2}\:+\:\frac{\mathrm{7}}{\mathrm{10}^{\mathrm{2}} }\:+\:\frac{\mathrm{7}}{\mathrm{10}^{\mathrm{3}} }\:+\:\frac{\mathrm{7}}{\mathrm{10}^{\mathrm{4}}…