Menu Close

Category: Algebra

lim-x-0-cos-x-1-x-

Question Number 149958 by mathdanisur last updated on 08/Aug/21 $$\underset{\boldsymbol{\mathrm{x}}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\sqrt[{\boldsymbol{\mathrm{x}}}]{\mathrm{cos}\sqrt{\mathrm{x}}}\:=\:? \\ $$ Commented by dumitrel last updated on 08/Aug/21 $${e}^{−\frac{\mathrm{1}}{\mathrm{2}}} \\ $$ Commented by…

x-2-2-x-2-4-x-2-6-x-2-2020-1-x-

Question Number 84404 by Wepa last updated on 12/Mar/20 $$\left(\mathrm{x}^{\mathrm{2}} −\mathrm{2}\right)\left(\mathrm{x}^{\mathrm{2}} −\mathrm{4}\right)\left(\mathrm{x}^{\mathrm{2}} −\mathrm{6}\right)…\left(\mathrm{x}^{\mathrm{2}} −\mathrm{2020}\right)=\mathrm{1} \\ $$$$\mathrm{x}=? \\ $$ Commented by TANMAY PANACEA last updated on…

Question-149932

Question Number 149932 by mathdanisur last updated on 08/Aug/21 Answered by mr W last updated on 08/Aug/21 $${say}\:{AB}={CD}=\mathrm{1} \\ $$$$\frac{{BD}}{\mathrm{sin}\:\mathrm{5}{x}}=\frac{{BC}}{\mathrm{sin}\:\mathrm{9}{x}}=\frac{\mathrm{1}}{\mathrm{sin}\:\mathrm{4}{x}} \\ $$$$\Rightarrow{BD}=\frac{\mathrm{sin}\:\mathrm{5}{x}}{\mathrm{sin}\:\mathrm{4}{x}} \\ $$$$\Rightarrow{BC}=\frac{\mathrm{sin}\:\mathrm{9}{x}}{\mathrm{sin}\:\mathrm{4}{x}} \\…

Question-18864

Question Number 18864 by chernoaguero@gmail.com last updated on 31/Jul/17 Commented by mrW1 last updated on 31/Jul/17 $$\left(\mathrm{x},\mathrm{y}\right)=\left(\mathrm{1},\mathrm{2}\right),\left(\mathrm{2},\mathrm{1}\right),\left(−\mathrm{2},\mathrm{1}\right),\left(\mathrm{1},−\mathrm{2}\right),\left(\mathrm{0},−\mathrm{3}\right),\left(−\mathrm{3},\mathrm{0}\right) \\ $$ Answered by behi.8.3.4.1.7@gmail.com last updated on…

find-the-solution-2x-x-2-x-3-

Question Number 84394 by jagoll last updated on 12/Mar/20 $$\mathrm{find}\:\mathrm{the}\:\mathrm{solution} \\ $$$$\frac{\mathrm{2x}}{\mathrm{x}−\mathrm{2}}\:\leqslant\:\mid\mathrm{x}−\mathrm{3}\mid\: \\ $$ Commented by john santu last updated on 12/Mar/20 $$\left(\mathrm{i}\right)\:\mathrm{x}\:\geqslant\mathrm{3}\:\Rightarrow\:\frac{\mathrm{2x}}{\mathrm{x}−\mathrm{2}}\:\leqslant\:\mathrm{x}−\mathrm{3} \\ $$$$\Rightarrow\mathrm{2x}\:\leqslant\:\left(\mathrm{x}−\mathrm{3}\right)\left(\mathrm{x}−\mathrm{2}\right)…

if-x-x-y-y-z-z-x-y-y-z-z-x-x-z-y-x-z-y-such-that-x-y-and-z-are-positive-intigers-greater-than-1-what-is-the-value-of-xyz-and-x-y-z-

Question Number 84393 by agniv123 last updated on 12/Mar/20 $${if}\:{x}^{{x}} .{y}^{{y}} .{z}^{{z}} ={x}^{{y}} .{y}^{{z}} .{z}^{{x}} ={x}^{{z}} .{y}^{{x}} .{z}^{{y}} \:{such}\:{that}\:{x},\:{y}\:{and}\:{z}\: \\ $$$${are}\:{positive}\:{intigers}\:{greater}\:{than}\:\mathrm{1} \\ $$$$,{what}\:{is}\:{the}\:{value}\:{of}\:{xyz}\:{and}\:{x}+{y}+{z}\:? \\ $$…