Question Number 31032 by abdo imad last updated on 02/Mar/18 $${let}\:{give}\:{x}_{\mathrm{0}} =\mathrm{0}\:,{y}_{\mathrm{0}} =\mathrm{1}\:{and}\:\left\{_{{y}_{{n}} ={x}_{{n}−\mathrm{1}} \:+{y}_{{n}−\mathrm{1}} } ^{{x}_{{n}} ={x}_{{n}−\mathrm{1}} \:−{y}_{{n}−\mathrm{1}} } \:\:\:\:\:\:{for}\:{n}\geqslant\mathrm{1}\:{let}\right. \\ $$$${z}_{{n}} ={x}_{{n}} \:+{i}\:{y}_{{n}}…
Question Number 31033 by abdo imad last updated on 02/Mar/18 $${factorize}\:{p}\left({x}\right)=\left(\mathrm{1}+{ix}\right)^{{n}} \:−{e}^{{in}\theta} \:\:\:{wth}\:\theta\in{R}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 31031 by abdo imad last updated on 02/Mar/18 $$\left.\mathrm{1}\right)\:{solve}\:{inside}\:{C}\:\:{z}^{\mathrm{12}} =\mathrm{1}\:{and}\:{give}\:{the}\:{solution}\:{at}\:{form} \\ $$$${r}\:{e}^{{i}\theta} \\ $$$$\left.\mathrm{2}\right){calculate}\:\mathrm{1}+{u}\:+{u}^{\mathrm{2}} \:+…\:+{u}^{{n}} \:{then}\:{find}\:{the}\:{solution} \\ $$$${of}\:{z}\in{C}\:\:\:\:\:\:\:{z}^{\mathrm{8}} \:+{z}^{\mathrm{4}} \:+\mathrm{1}=\mathrm{0} \\ $$ Terms…
Question Number 162103 by HongKing last updated on 26/Dec/21 $$\mathrm{Find}: \\ $$$$\underset{\boldsymbol{\mathrm{x}}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{sinx}\:-\:\mathrm{sin}^{-\mathrm{1}} \mathrm{x}}{\mathrm{sinhx}\:-\:\mathrm{sinh}^{-\mathrm{1}} \mathrm{x}}\:=\:? \\ $$ Answered by Ar Brandon last updated on 26/Dec/21…
Question Number 162102 by HongKing last updated on 26/Dec/21 $$\mathrm{Solve}\:\mathrm{for}\:\mathrm{real}\:\mathrm{numbers}: \\ $$$$\mathrm{5}^{\boldsymbol{\mathrm{x}}} \:+\:\mathrm{4}^{\frac{\mathrm{1}}{\boldsymbol{\mathrm{x}}}} \:+\:\mathrm{25}^{\boldsymbol{\mathrm{x}}} \:\centerdot\:\mathrm{16}^{\frac{\mathrm{1}}{\boldsymbol{\mathrm{x}}}} \:=\:\mathrm{2527} \\ $$ Commented by mr W last updated on…
Question Number 31023 by jasno91 last updated on 02/Mar/18 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 162088 by mathlove last updated on 26/Dec/21 $${x}^{\mathrm{2}} =\mathrm{2}^{{x}} \\ $$$${solve}\:\:\:{for}\:\:\:\:{x}=? \\ $$ Answered by Ar Brandon last updated on 26/Dec/21 $${x}^{\mathrm{2}} =\mathrm{2}^{{x}}…
Question Number 31018 by jasno91 last updated on 02/Mar/18 Commented by rahul 19 last updated on 02/Mar/18 $${sum}\:{of}\:{roots}\:=−\:\frac{{coefficient}\:{of}\:{b}}{{coefficient}\:{of}\:{a}} \\ $$$$\:{let}\:\mathrm{3}{rd}\:{root}=\:\zeta \\ $$$$\Rightarrow\:\sqrt{\mathrm{3}}\:+\left(\:−\sqrt{\mathrm{3}}\:\right)+\zeta\:=\:\frac{−\mathrm{1}}{\mathrm{2}}. \\ $$$${hence}\:\zeta\:=\:−\frac{\mathrm{1}}{\mathrm{2}}\:. \\…
Question Number 162083 by HongKing last updated on 26/Dec/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 31003 by rahul 19 last updated on 01/Mar/18 $${Number}\:{of}\:{positive}\:{integers}\:{x}\:{for} \\ $$$${which}\:{f}\left({x}\right)={x}^{\mathrm{3}} −\mathrm{8}{x}^{\mathrm{2}} +\mathrm{20}{x}−\mathrm{13}\:{is}\:\:{a}\: \\ $$$${prime}\:{number}\:{are}\:? \\ $$ Answered by MJS last updated on…