Question Number 52730 by lateefhussain25@gmaik.com last updated on 12/Jan/19 $${The}\:{area}\:{of}\:\:{a}\:{re} \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\…
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Question Number 183777 by Michaelfaraday last updated on 30/Dec/22 Commented by Frix last updated on 30/Dec/22 $${k}=\mathrm{2}\sqrt[{\mathrm{3}}]{\mathrm{3}} \\ $$ Answered by HeferH last updated on…
Question Number 183769 by Michaelfaraday last updated on 29/Dec/22 $${solve}\:{for}\:{x}: \\ $$$${x}^{{x}^{{x}} } =\mathrm{2}^{\mathrm{2048}} \\ $$$${by}\:{using}\:{lambert}\:{function} \\ $$ Commented by mr W last updated on…
Question Number 118227 by bemath last updated on 16/Oct/20 $${If}\:{x}\:=\:\sqrt{\mathrm{42}−\sqrt{\mathrm{42}−\sqrt{\mathrm{42}−…}}} \\ $$$${y}\:=\:\sqrt{{x}+\sqrt{{x}+\sqrt{{x}+…}}} \\ $$$${z}=\sqrt{{y}.\sqrt{{y}.\sqrt{{y}.\sqrt{{y}…}}}}\:.\:{Find}\:{x}+{y}+{z}\:. \\ $$ Answered by mathmax by abdo last updated on 16/Oct/20…
Question Number 183756 by Michaelfaraday last updated on 29/Dec/22 $${solve}\:{for}\:{x}\:{by}\:{using}\:{lambert}\:{function} \\ $$$${x}^{\mathrm{2}} =\mathrm{16}^{{x}} \\ $$ Answered by aleks041103 last updated on 30/Dec/22 $$\mathrm{2}{lnx}={xln}\mathrm{16} \\ $$$$\Rightarrow{lnx}={xln}\mathrm{4}…
Question Number 118196 by mathocean1 last updated on 15/Oct/20 $${solve}\:{in}\:\mathbb{N}: \\ $$$${b}^{\mathrm{3}} \left(\mathrm{2}{b}^{\mathrm{2}} +\mathrm{2}{b}+\mathrm{1}\right)=\mathrm{18360} \\ $$ Answered by Olaf last updated on 15/Oct/20 $${b}^{\mathrm{3}} \left({b}^{\mathrm{2}}…
Question Number 118193 by mathocean1 last updated on 15/Oct/20 $${Given}\:{A}={n}^{\mathrm{2}} −\mathrm{2}{n}+\mathrm{2}\:,\:{B}={n}^{\mathrm{2}} +\mathrm{2}{n}+\mathrm{2} \\ $$$${n}\:\in\:\mathbb{N}^{\ast} −\left\{\mathrm{1}\right\}. \\ $$$${Show}\:{that}\:\forall\:{divisor}\:{of}\:{A}\:{which}\:{divise} \\ $$$${n}\:{can}\:{also}\:{divise}\:\mathrm{2}. \\ $$$${Show}\:{that}\:{all}\:{common}\:{divisor}\:{of}\: \\ $$$${A}\:{and}\:{B}\:{can}\:{divise}\:\mathrm{4}{n}. \\ $$…
Question Number 118184 by mathocean1 last updated on 15/Oct/20 $${factorise}\:{x}^{\mathrm{4}} +\mathrm{4} \\ $$ Commented by bemath last updated on 16/Oct/20 $$\left({x}^{\mathrm{2}} \right)^{\mathrm{2}} +\mathrm{2}^{\mathrm{2}} \:=\:\left({x}^{\mathrm{2}} +\mathrm{2}\right)^{\mathrm{2}}…
Question Number 118180 by mathocean1 last updated on 15/Oct/20 $${show}\:{that}\:{if}\:{n}\:{is}\:{odd}\:,\:{n}\left({n}^{\mathrm{2}} +\mathrm{3}\right)\:{is}\:{even}. \\ $$ Answered by floor(10²Eta[1]) last updated on 15/Oct/20 $$\mathrm{if}\:\mathrm{n}\:\mathrm{is}\:\mathrm{odd}\Rightarrow\mathrm{n}=\mathrm{2k}+\mathrm{1},\:\mathrm{k}\in\mathbb{Z} \\ $$$$\left(\mathrm{2k}+\mathrm{1}\right)\left(\left(\mathrm{2k}+\mathrm{1}\right)^{\mathrm{2}} +\mathrm{3}\right) \\…