Question Number 146535 by mathdanisur last updated on 13/Jul/21 $$\begin{cases}{\frac{\mathrm{15}}{{x}^{\mathrm{2}} +{xy}}\:+\:\frac{\mathrm{3}}{{y}^{\mathrm{2}} +{xy}}\:=\:\mathrm{5},\mathrm{5}}\\{\frac{\mathrm{12}}{{x}^{\mathrm{2}} +{xy}}\:-\:\frac{\mathrm{6}}{{y}^{\mathrm{2}} +{xy}}\:=\:\mathrm{3}}\end{cases}\:\:\:\Rightarrow\:\:\mid{x}+{y}\mid=? \\ $$ Answered by liberty last updated on 14/Jul/21 $$\:\begin{cases}{\frac{\mathrm{30}}{{x}^{\mathrm{2}} +{xy}}+\frac{\mathrm{6}}{{y}^{\mathrm{2}}…
Question Number 146532 by mathdanisur last updated on 13/Jul/21 $$\mathrm{2}^{\boldsymbol{{x}}} \:=\:\mathrm{5}\:\:,\:\:\mathrm{3}^{\boldsymbol{{y}}} \:=\:\mathrm{9}\:\:{and}\:\:\mathrm{25}^{\boldsymbol{{z}}} \:=\:\mathrm{8} \\ $$$${find}\:\:\:\left({x}\centerdot{y}\centerdot{z}\right)=? \\ $$ Answered by puissant last updated on 13/Jul/21 $$\mathrm{e}^{\mathrm{xln2}}…
Question Number 146521 by mathdanisur last updated on 13/Jul/21 $$\left(\boldsymbol{{i}}\:-\:\mathrm{1}\right)^{−\mathrm{100}} \:=\:? \\ $$ Answered by mathmax by abdo last updated on 13/Jul/21 $$\left(\mathrm{i}−\mathrm{1}\right)^{−\mathrm{100}} =\left(−\mathrm{1}+\mathrm{i}\right)^{−\mathrm{100}} \:=\left(\sqrt{\mathrm{2}}\mathrm{e}^{\frac{\mathrm{i3}\pi}{\mathrm{4}}}…
Question Number 80982 by Power last updated on 08/Feb/20 Commented by mr W last updated on 08/Feb/20 $$=\frac{\mathrm{2}}{\:\sqrt{{e}^{\pi} }}\beth\left(\zeta\left({n}\right)\right) \\ $$ Commented by mr W…
Question Number 146508 by mathdanisur last updated on 13/Jul/21 $${Find}\:{the}\:{sum}\:{of}\:{the}\:{roots}\:{of}\:{the} \\ $$$${equation}: \\ $$$$\mathrm{16}\:\centerdot\:\mathrm{2}^{\mid\boldsymbol{{x}}\mid} \:+\:\mathrm{5}\:\centerdot\:\mathrm{2}^{\boldsymbol{{x}}} \:=\:\mathrm{42} \\ $$ Answered by Olaf_Thorendsen last updated on 13/Jul/21…
Question Number 146505 by mathdanisur last updated on 13/Jul/21 $$\underset{{x}\rightarrow\mathrm{7}} {{lim}}\:\frac{\sqrt{{x}\:-\:{a}}\:-\:\mathrm{4}}{{x}\:-\:\mathrm{7}}\:=\:{b}\:\:{find}\:\:{a}\centerdot{b}=? \\ $$ Answered by ajfour last updated on 13/Jul/21 $${i}\:{just}\:{dunno}\:\:{but}\:{letsee}\:{whtits} \\ $$$${bout}.. \\ $$$${if}\:{limit}\:{has}\:{to}\:{exist},\:{i}.{e}.…
Question Number 146500 by mathdanisur last updated on 13/Jul/21 $${Z}\:=\:−\mathrm{2}\centerdot\left({cos}\mathrm{80}−{sin}\mathrm{80}\right) \\ $$$${Show}\:{it}\:{in}\:{trigonometry} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 146488 by mathdanisur last updated on 13/Jul/21 $${if}\:\:\:{x}+{y}=\mathrm{216}\:\:\:{and}\:\:\:\boldsymbol{{dcm}}\left({x};{y}\right)=\mathrm{18} \\ $$$${find}\:\:\:{x}−{y}=? \\ $$ Commented by mathdanisur last updated on 13/Jul/21 $${the}\:{biggest}\:{common}\:{divisot} \\ $$ Commented…
Question Number 146470 by mathdanisur last updated on 13/Jul/21 $${if}\:\:\:\mathrm{4}{a}=\mathrm{7}{b}=\mathrm{2}{c}\:\:{and}\:\:\:\boldsymbol{{dcm}}\left({a};{b};{c}\right)=\mathrm{3} \\ $$$${find}\:\:\:{a}+{b}+{c}=? \\ $$ Answered by Rasheed.Sindhi last updated on 13/Jul/21 $${if}\:\:\:\mathrm{4}{a}=\mathrm{7}{b}=\mathrm{2}{c}\:\:{and}\:\:\:\boldsymbol{{gcd}}\left({a},{b},{c}\right)=\mathrm{3} \\ $$$${a}+{b}+{c}=? \\…
Question Number 80930 by peter frank last updated on 08/Feb/20 Commented by jagoll last updated on 08/Feb/20 $$\Rightarrow\left(\mathrm{1}\right)\:{a}+{b}+\mathrm{2}\:=\:\mathrm{0}\:,\:{a}+{b}\:=\:−\mathrm{2} \\ $$$$\Rightarrow\left(\mathrm{2}\right)\:{y}'\:=\:\mathrm{3}{ax}^{\mathrm{2}} +\mathrm{2}{bx} \\ $$$$\Rightarrow{y}\:''\:=\:\mathrm{6}{ax}\:+\mathrm{2}{b}\:=\:\mathrm{0}\:{for}\:{x}\:=\:\mathrm{1} \\ $$$$\mathrm{2}{b}\:=\:−\mathrm{6}{a}\:\Rightarrow{b}\:=\:−\mathrm{3}{a}\:\wedge\:{a}+{b}\:=−\mathrm{2}…