Question Number 184989 by Ml last updated on 15/Jan/23 $$\mathrm{2}^{\mathrm{x}} =\mathrm{4x} \\ $$$$\mathrm{x}=? \\ $$$$\mathrm{solution}??? \\ $$ Answered by Frix last updated on 15/Jan/23 $$\mathrm{2}^{{x}}…
Question Number 119451 by help last updated on 24/Oct/20 Answered by Dwaipayan Shikari last updated on 24/Oct/20 $${x}=\mathrm{2},{y}=\mathrm{3}\:{z}=−\mathrm{4} \\ $$$${x}+{y}+{z}=\mathrm{1} \\ $$$${If}\:{you}\:{consider}\:{Complex}\:{solutions} \\ $$$${There}\:{will}\:{be}\:{infinite}\:{solutions} \\…
Question Number 184969 by SEKRET last updated on 14/Jan/23 $$\:\: \\ $$$$ \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\mathrm{3}\:+\:\frac{\mathrm{1}}{\mathrm{6}+\frac{\mathrm{3}^{\mathrm{2}} }{\mathrm{6}+\frac{\mathrm{5}^{\mathrm{2}} }{\mathrm{6}+\frac{\mathrm{7}^{\mathrm{2}} }{\mathrm{6}+\frac{\mathrm{9}^{\mathrm{2}} }{\mathrm{6}+……}\:\:\:}\:\:}\:\:}\:\:\:\:}\:\:=\:\boldsymbol{\pi} \\ $$$$\:\:\:\:\boldsymbol{\mathrm{provet}}\:\:\boldsymbol{\mathrm{that}}. \\ $$$$ \\…
Question Number 119408 by ZiYangLee last updated on 24/Oct/20 $$\mathrm{If}\:\alpha,\beta,\gamma\:\mathrm{are}\:\mathrm{the}\:\mathrm{three}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{3}{x}^{\mathrm{3}} +\mathrm{12}{x}^{\mathrm{2}} −\mathrm{77}{x}+\mathrm{11}=\mathrm{0}, \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\left(\alpha−\mathrm{1}\right)\left(\beta−\mathrm{1}\right)\left(\gamma−\mathrm{1}\right). \\ $$ Commented by liberty last updated on 24/Oct/20…
Question Number 184944 by SANOGO last updated on 14/Jan/23 $${please}\:{you}\:{help}\:{me} \\ $$$$\underset{{k}=\mathrm{0}} {\overset{{n}} {\sum}}{sin}\left({k}\right)=?? \\ $$ Answered by JDamian last updated on 15/Jan/23 $${hint}:\:\mathrm{sin}\left({x}\right)=\frac{{e}^{{xi}} −{e}^{−{xi}}…
Question Number 119386 by ZiYangLee last updated on 24/Oct/20 $$\mathrm{The}\:\mathrm{length}\:\mathrm{of}\:\mathrm{a}\:\mathrm{rectangle}\:\mathrm{is}\:\mathrm{decreased}\:\mathrm{by}\:\mathrm{20\%}, \\ $$$$\mathrm{and}\:\mathrm{the}\:\mathrm{width}\:\mathrm{is}\:\mathrm{increased}\:\mathrm{by}\:{x\%}, \\ $$$$\mathrm{but}\:\mathrm{the}\:\mathrm{area}\:\mathrm{remains}\:\mathrm{the}\:\mathrm{same}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{x}. \\ $$ Answered by mr W last updated on…
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Question Number 184903 by aba last updated on 13/Jan/23 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{e}^{\mathrm{x}} +\mathrm{e}^{−\mathrm{x}} −\mathrm{2}}{\mathrm{x}^{\mathrm{2}} }=?? \\ $$$$\mathrm{let}\:\mathrm{x}=\mathrm{2t}\:\begin{cases}{\mathrm{x}\rightarrow\mathrm{0}}\\{\mathrm{t}\rightarrow\mathrm{0}}\end{cases} \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{e}^{\mathrm{x}} +\mathrm{e}^{−\mathrm{x}} −\mathrm{2}}{\mathrm{x}^{\mathrm{2}} }=\underset{\mathrm{t}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{e}^{\mathrm{2t}} +\mathrm{e}^{−\mathrm{2t}} −\mathrm{2}}{\mathrm{4t}^{\mathrm{2}}…
Question Number 53805 by hassentimol last updated on 26/Jan/19 Commented by tanmay.chaudhury50@gmail.com last updated on 26/Jan/19 Commented by tanmay.chaudhury50@gmail.com last updated on 26/Jan/19 $${from}\:{graph}\: \\…
Question Number 184869 by yaslm last updated on 13/Jan/23 Answered by mr W last updated on 20/Jan/23 Commented by mr W last updated on 20/Jan/23…