Question Number 88329 by TawaTawa1 last updated on 10/Apr/20 Commented by TawaTawa1 last updated on 10/Apr/20 $$\mathrm{Find}\:\:\:\mathrm{x},\:\:\mathrm{y}\:\:\mathrm{and}\:\:\:\mathrm{z} \\ $$ Commented by Tony Lin last updated…
Question Number 153866 by amin96 last updated on 11/Sep/21 $$\mathrm{3}+\sqrt{\mathrm{3}+\sqrt{\mathrm{6}+\sqrt{\mathrm{9}+\sqrt{\mathrm{12}+\ldots+\sqrt{\mathrm{99}}}}}}=? \\ $$ Answered by peter frank last updated on 11/Sep/21 $$\mathrm{152122} \\ $$ Commented by…
Question Number 153858 by liberty last updated on 11/Sep/21 Commented by liberty last updated on 11/Sep/21 $$\:\begin{cases}{{x}=?}\\{{y}=?}\\{{z}=?}\end{cases} \\ $$ Answered by EDWIN88 last updated on…
Question Number 153857 by mathdanisur last updated on 11/Sep/21 Commented by Tawa11 last updated on 11/Sep/21 $$\mathrm{Weldone}\:\mathrm{sir}. \\ $$ Answered by mr W last updated…
Question Number 88314 by M±th+et£s last updated on 09/Apr/20 $$\left(\:{a},{b}\:\right){are}\:{complex}\:{numbers}\:{and}\:{a}^{\mathrm{2}} +{ab}+{b}^{\mathrm{2}} =\mathrm{0} \\ $$$${find}\:\left(\frac{{a}}{{a}+{b}}\right)^{\mathrm{2020}} +\left(\frac{{b}}{{a}+{b}}\right)^{\mathrm{2020}} \\ $$$$ \\ $$ Commented by mathmax by abdo last…
Question Number 153847 by mathdanisur last updated on 11/Sep/21 $$\boldsymbol{\mathrm{S}}\:=\:\mathrm{x}\:+\:\mathrm{2x}^{\mathrm{2}} \:+\:…\:+\:\mathrm{nx}^{\boldsymbol{\mathrm{n}}} \\ $$$$ \\ $$ Answered by liberty last updated on 11/Sep/21 $$\:{S}={x}+\mathrm{2}{x}^{\mathrm{2}} +\mathrm{3}{x}^{\mathrm{3}} +\mathrm{4}{x}^{\mathrm{4}}…
Question Number 22768 by math solver last updated on 22/Oct/17 Commented by math solver last updated on 22/Oct/17 $${find}\:{the}\:{sum}\:{of}\:{infinite}\:{terms}\:{of}\: \\ $$$${the}\:{series}\:.. \\ $$ Commented by…
Question Number 153839 by liberty last updated on 11/Sep/21 Commented by mathdanisur last updated on 11/Sep/21 $$\mathrm{x}\left(\mathrm{1}\:+\:\frac{\mathrm{1}}{\mathrm{1}+\mathrm{2}}\:+\:\frac{\mathrm{1}}{\mathrm{1}+\mathrm{2}+\mathrm{3}}\:+\:…\:+\:\frac{\mathrm{1}}{\mathrm{1}+\mathrm{2}+…+\mathrm{4041}}\right)\:=\:\mathrm{4041} \\ $$$$\blacktriangle\:\boldsymbol{\mathrm{A}}\:=\:\mathrm{1}\:+\:\frac{\mathrm{1}}{\mathrm{1}+\mathrm{2}}\:+\:\frac{\mathrm{1}}{\mathrm{1}+\mathrm{2}+\mathrm{3}}\:+\:…\:+\:\frac{\mathrm{1}}{\mathrm{1}+\mathrm{2}+…+\boldsymbol{\mathrm{n}}}\:=\:\frac{\mathrm{2}\boldsymbol{\mathrm{n}}}{\boldsymbol{\mathrm{n}}\:+\:\mathrm{1}} \\ $$$$\boldsymbol{\mathrm{n}}\:=\:\mathrm{4041}\:\Rightarrow\:\boldsymbol{\mathrm{A}}\:=\:\frac{\mathrm{2}\:\centerdot\:\mathrm{4041}}{\mathrm{4041}\:+\:\mathrm{1}}\:=\:\frac{\mathrm{2}\:\centerdot\:\mathrm{4041}}{\mathrm{2}\:\centerdot\:\mathrm{2021}}\:=\:\frac{\mathrm{4041}}{\mathrm{2021}} \\ $$$$\Rightarrow\:\boldsymbol{\mathrm{x}}\:\centerdot\:\frac{\mathrm{4041}}{\mathrm{2021}}\:=\:\mathrm{4041}\:\Rightarrow\:\boldsymbol{\mathrm{x}}\:=\:\mathrm{2021}\:\blacktriangle \\ $$…
Question Number 153829 by mathdanisur last updated on 10/Sep/21 $$\mathrm{L}\left(\mathrm{x}\right)\:=\:\frac{\mathrm{6}}{\pi^{\mathrm{2}} }\left(\mathrm{Li}_{\mathrm{2}} \left(\mathrm{x}\right)\:+\:\frac{\mathrm{1}}{\mathrm{2}}\:\mathrm{log}\left(\mathrm{x}\right)\mathrm{log}\left(\mathrm{1}-\mathrm{x}\right)\right. \\ $$$$\mathrm{Find}:\:\:\boldsymbol{\Omega}\:=\underset{\:\mathrm{0}} {\overset{\:\mathrm{1}} {\int}}\:\mathrm{L}\left(\mathrm{x}\right)\centerdot\mathrm{Li}_{\mathrm{2}} \left(\mathrm{x}\right)\:\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 153817 by eman_64 last updated on 10/Sep/21 Commented by puissant last updated on 10/Sep/21 $${Correct}..! \\ $$ Commented by alisiao last updated on…