Question Number 149770 by mathdanisur last updated on 07/Aug/21 $$\mathrm{6}\boldsymbol{{z}}^{\mathrm{4}} \:=\:\boldsymbol{{z}}^{\boldsymbol{{z}}^{\mathrm{2}} } \:\:\Rightarrow\:\:\mathrm{1}\:+\:\boldsymbol{{z}}^{\mathrm{2}} \:+\:\boldsymbol{{z}}^{\mathrm{4}} \:=\:? \\ $$ Commented by amin96 last updated on 07/Aug/21 $${z}^{\mathrm{2}}…
Question Number 149766 by mathdanisur last updated on 07/Aug/21 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation}: \\ $$$$\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{x}\:+\:\mathrm{1}\:+\:\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{x}\:+\:\mathrm{1}}\:=\:\frac{\mathrm{10}}{\mathrm{3}} \\ $$ Commented by amin96 last updated on 07/Aug/21 $${x}^{\mathrm{2}} +\mathrm{x}+\mathrm{1}=\mathrm{y}\:\:\:\:\Rightarrow\:\:{y}+\frac{\mathrm{1}}{{y}}=\frac{\mathrm{10}}{\mathrm{3}}…
Question Number 84188 by jagoll last updated on 10/Mar/20 $$\mathrm{if}\:\mathrm{2x}+\mathrm{3y}\:=\:\mathrm{2020}? \\ $$$$\mathrm{find}\:\mathrm{maximum}\:\mathrm{value}\:\mathrm{3x}+\mathrm{2y}\:\mathrm{for}\:\mathrm{x}\:\mathrm{and}\:\mathrm{natural} \\ $$$$\mathrm{number} \\ $$ Commented by jagoll last updated on 10/Mar/20 $$\mathrm{this}\:\mathrm{diopthantine}\:\mathrm{equation}\:? \\…
Question Number 84182 by mr W last updated on 11/Mar/20 $${Find}\:{the}\:{number}\:{of}\:{solutions}\:{for} \\ $$$${positive}\:{integers}\:\left({x},{y},{z}\right)\:{satisfying} \\ $$$$\boldsymbol{{x}}+\mathrm{2}\boldsymbol{{y}}+\mathrm{3}\boldsymbol{{z}}=\boldsymbol{{n}}. \\ $$ Answered by mr W last updated on 10/Mar/20…
Question Number 18640 by 99 last updated on 26/Jul/17 Commented by 99 last updated on 26/Jul/17 $${please}\:{solve}\:{question}\:{no}.\mathrm{6}\:.{please}… \\ $$ Answered by Tinkutara last updated on…
Question Number 18606 by 99 last updated on 25/Jul/17 $$\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{3}}{\mathrm{3}×\mathrm{7}}+\frac{\mathrm{5}}{\mathrm{3}×\mathrm{7}×\mathrm{11}}+\frac{\mathrm{7}}{\mathrm{3}×\mathrm{7}×\mathrm{11}×\mathrm{15}}+…{n}\: \\ $$$$\:{terms} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 149675 by mathdanisur last updated on 06/Aug/21 $$\underset{\boldsymbol{\mathrm{n}}\rightarrow\infty} {\mathrm{lim}}\sqrt[{\boldsymbol{\mathrm{n}}}]{\underset{\:\mathrm{0}} {\overset{\:\infty} {\int}}\:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{2}} \:+\:\frac{\mathrm{1}}{\mathrm{4}}\right)^{\boldsymbol{\mathrm{n}}+\mathrm{1}} }}\:=\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 149670 by EDWIN88 last updated on 06/Aug/21 $$\:\:\:{Solve}\:{the}\:{equation}\: \\ $$$$\:\:{x}=\sqrt{{a}−\sqrt{{a}+{x}}\:}\:{where}\:{a}>\mathrm{0}\:{is}\: \\ $$$$\:{a}\:{parameter}. \\ $$ Answered by MJS_new last updated on 06/Aug/21 $$\mathrm{for}\:{a},\:{x}\:\in\mathbb{R} \\…
Question Number 84126 by Roland Mbunwe last updated on 09/Mar/20 $$\int\frac{\mathrm{5}−{x}}{\mathrm{1}+\sqrt{\left({x}−\mathrm{4}\right)}}\boldsymbol{{dx}} \\ $$ Answered by MJS last updated on 09/Mar/20 $$−\int\frac{{x}−\mathrm{5}}{\mathrm{1}+\sqrt{{x}−\mathrm{4}}}{dx}=\int\left(\mathrm{1}−\sqrt{{x}−\mathrm{4}}\right){dx}= \\ $$$$={x}−\frac{\mathrm{2}}{\mathrm{3}}\left({x}−\mathrm{4}\right)^{\frac{\mathrm{3}}{\mathrm{2}}} +{C} \\…
Question Number 84109 by Power last updated on 09/Mar/20 Commented by mahdi last updated on 09/Mar/20 $$\frac{\mathrm{1}}{\mathrm{1}}+\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{5}}+…+\frac{\mathrm{1}}{\mathrm{2x}+\mathrm{1}}\approx\mathrm{ln}\left(\frac{\mathrm{2x}+\mathrm{1}}{\:\sqrt{\mathrm{x}}}\right)+\mathrm{0}.\mathrm{28861} \\ $$ Commented by mathmax by abdo last…