Question Number 148975 by mathdanisur last updated on 01/Aug/21 Commented by Kamel last updated on 02/Aug/21 $${yes}\:{sorry}\:\angle{ABD}=\mathrm{72}° \\ $$ Answered by Kamel last updated on…
Question Number 148947 by mathdanisur last updated on 01/Aug/21 $$\mathrm{615}\:+\:{x}^{\mathrm{2}} \:=\:\mathrm{2}^{\boldsymbol{{y}}} \:\:\:;\:\:\:{x};{y}\in\mathbb{N} \\ $$$$\Rightarrow\:{x};{y}\:=\:? \\ $$ Answered by dumitrel last updated on 02/Aug/21 $${if}\:{y}=\mathrm{2}{k}+\mathrm{1}\Rightarrow{u}\left(\mathrm{2}^{{y}} \right)\in\left\{\mathrm{2},\mathrm{8}\right\}\Rightarrow…
Question Number 148946 by Tawa11 last updated on 01/Aug/21 $$\mathrm{Sum}\:\mathrm{to}\:\:\mathrm{n}\:\:\mathrm{term}:\:\:\:\:\:\:\:\frac{\mathrm{1}}{\mathrm{1}.\mathrm{2}.\mathrm{3}}\:\:\:+\:\:\frac{\mathrm{1}}{\mathrm{4}.\mathrm{5}.\mathrm{6}}\:\:\:+\:\:\:\frac{\mathrm{1}}{\mathrm{7}.\mathrm{8}.\mathrm{9}}\:\:+\:\:…\:\:\:\mathrm{to}\:\:\mathrm{n}. \\ $$ Answered by Olaf_Thorendsen last updated on 02/Aug/21 $$\mathrm{S}\:=\:\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\left(\mathrm{3}{n}+\mathrm{1}\right)\left(\mathrm{3}{n}+\mathrm{2}\right)\left(\mathrm{3}{n}+\mathrm{3}\right)} \\ $$$$\mathrm{S}\:=\:\underset{{n}=\mathrm{0}} {\overset{\infty}…
Question Number 83378 by M±th+et£s last updated on 01/Mar/20 $${x}+{y}+{z}=\mathrm{1} \\ $$$${x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} =\mathrm{2} \\ $$$${x}^{\mathrm{3}} +{y}^{\mathrm{3}} +{z}^{\mathrm{3}} =\mathrm{3} \\ $$$${find} \\ $$$${x}^{\mathrm{4}} +{y}^{\mathrm{4}}…
Question Number 148911 by mathdanisur last updated on 01/Aug/21 $${f}:\left[−\mathrm{3},\:\mathrm{0}\right]\rightarrow\left[\mathrm{7},\:\mathrm{22}\right] \\ $$$${f}\left({x}\right)\:=\:{x}^{\mathrm{2}} \:-\:\mathrm{2}{x}\:+\:\mathrm{7} \\ $$$${find}\:\:\:{f}^{\:−\mathrm{1}} \left({x}\right)\:=\:? \\ $$ Answered by EDWIN88 last updated on 01/Aug/21…
Question Number 83373 by Power last updated on 01/Mar/20 Commented by jagoll last updated on 02/Mar/20 $$\left(\mathrm{ax}+\mathrm{by}\right)\left(\mathrm{x}+\mathrm{y}\right)\:=\:\mathrm{5}\left(\mathrm{x}+\mathrm{y}\right) \\ $$$$\mathrm{ax}^{\mathrm{2}} +\mathrm{by}^{\mathrm{2}} +\mathrm{axy}+\mathrm{bxy}=\mathrm{5}\left(\mathrm{x}+\mathrm{y}\right) \\ $$$$\mathrm{10}\:+\:\mathrm{xy}\:\left(\mathrm{a}+\mathrm{b}\right)=\:\mathrm{5}\left(\mathrm{x}+\mathrm{y}\right)\:\left(\mathrm{i}\right) \\ $$$$\left(\mathrm{ax}^{\mathrm{2}}…
Question Number 83372 by Power last updated on 01/Mar/20 Commented by mr W last updated on 01/Mar/20 $${goh}\left({x}\right)={x}−\mathrm{2} \\ $$$$\frac{\mathrm{5}{h}\left({x}\right)}{{h}\left({x}\right)+\mathrm{1}}={x}−\mathrm{2} \\ $$$$\Rightarrow{h}\left({x}\right)=\frac{{x}−\mathrm{2}}{\mathrm{7}−{x}} \\ $$$${hof}\left({x}\right)=\frac{\left(\mathrm{2}{x}−\mathrm{1}\right)−\mathrm{2}}{\mathrm{7}−\left(\mathrm{2}{x}−\mathrm{1}\right)}=\frac{\mathrm{2}{x}−\mathrm{3}}{\mathrm{8}−\mathrm{2}{x}} \\…
Question Number 83370 by Power last updated on 01/Mar/20 Commented by Power last updated on 01/Mar/20 $$\mathrm{solve}\:\mathrm{pls} \\ $$ Commented by mr W last updated…
Question Number 148890 by mathdanisur last updated on 01/Aug/21 $${if}\:\:\:{x}\:+\:\frac{\mathrm{1}}{{x}}\:=\:\sqrt{\mathrm{3}} \\ $$$${find}\:\:\:{x}^{\mathrm{18}} \:+\:{x}^{\mathrm{12}} \:+\:{x}^{\mathrm{6}} \:+\:\mathrm{1}\:=\:? \\ $$ Answered by nimnim last updated on 01/Aug/21 $$\mathrm{x}+\frac{\mathrm{1}}{\mathrm{x}}=\sqrt{\mathrm{3}}\Rightarrow\mathrm{x}^{\mathrm{2}}…
Question Number 148887 by mathdanisur last updated on 01/Aug/21 $$\Omega=\underset{\:\mathrm{1}} {\overset{\:\infty} {\int}}\:\frac{\sqrt{{x}}\:{ln}\:{x}}{{x}^{\mathrm{2}} \:+\:\mathrm{1}}\:{dx}\:=\:? \\ $$ Answered by Kamel last updated on 01/Aug/21 $$\Omega=\underset{\:\mathrm{1}} {\overset{\:\infty} {\int}}\:\frac{\sqrt{{x}}\:{ln}\:{x}}{{x}^{\mathrm{2}}…