Question Number 120470 by mathocean1 last updated on 31/Oct/20 $${solve}\:{in}\:{function}\:{of}\:{n}: \\ $$$$\mathrm{2}^{{n}} \equiv{x}−\mathrm{4}\left[\mathrm{3}\right] \\ $$$${n}\in\mathbb{N} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 120471 by mathocean1 last updated on 31/Oct/20 $${solve}\:{in}\:\mathbb{Z}\:{x}^{\mathrm{3}} +\mathrm{2}{x}+\mathrm{1}\equiv\mathrm{1}\left[\mathrm{4}\right] \\ $$ Answered by Ar Brandon last updated on 31/Oct/20 $$\mathrm{x}^{\mathrm{3}} +\mathrm{2x}+\mathrm{1}=\mathrm{1}\left[\mathrm{4}\right]\Rightarrow\mathrm{x}^{\mathrm{3}} +\mathrm{2x}=\mathrm{0}\left[\mathrm{4}\right] \\…
Question Number 120469 by mathocean1 last updated on 31/Oct/20 $${c}\:{alculate}\:{the}\:{rest}\:{of}\:{the}\:{division}\:{of} \\ $$$$\mathrm{2}^{{n}} \:{by}\:\mathrm{3}\:;\:{n}\:\in\:\mathbb{N} \\ $$ Answered by mathmax by abdo last updated on 31/Oct/20 $$\mathrm{n}=\mathrm{2k}\:\Rightarrow\mathrm{2}^{\mathrm{n}}…
Question Number 120464 by pooooop last updated on 31/Oct/20 Answered by Jamshidbek2311 last updated on 31/Oct/20 $$\sqrt{{x}−\mathrm{1}}={a}\:\:\Rightarrow\:{x}={a}^{\mathrm{2}} +\mathrm{1} \\ $$$$\sqrt{{y}−\mathrm{4}}={b}\:\Rightarrow\:{y}={b}^{\mathrm{2}} +\mathrm{4} \\ $$$$\sqrt{{z}−\mathrm{9}}={c}\:\Rightarrow\:{z}={c}^{\mathrm{2}} +\mathrm{9}\: \\…
Question Number 186002 by Shrinava last updated on 30/Jan/23 Commented by JDamian last updated on 30/Jan/23 why did you re-post the same question? Answered by mr W last updated on 30/Jan/23…
Question Number 54923 by mr W last updated on 14/Feb/19 $${Is}\:\mathrm{tan}\:\mathrm{1}°\:{rational}\:{or}\:{irrational}? \\ $$$${Give}\:{your}\:{proof}. \\ $$ Commented by Otchere Abdullai last updated on 14/Feb/19 $${tan}\mathrm{1}°\:=\mathrm{0}.\mathrm{01745506493} \\…
Question Number 120455 by udaythool last updated on 31/Oct/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 185983 by mnjuly1970 last updated on 30/Jan/23 $$ \\ $$$$\:\:\:\:\:\begin{cases}{\:\:\:{f}\::\:\:\left[\:\:\mathrm{0}\:\:,\:\:\mathrm{1}\:\right]\:\rightarrow\:\mathbb{R}}\\{\:\:\:\:{f}\:\left({x}\:\right)\:=\:\frac{\:\mathrm{4}^{\:{x}} }{\mathrm{2}\:+\:\mathrm{4}^{\:{x}} }}\end{cases} \\ $$$$\:\:\:\:\:\:{is}\:\:{given}\:.\:\:{find}\:{the}\:{value}\:{of} \\ $$$$\:\:\:\:\:\:{the}\:{following}\:{expression}. \\ $$$$\:\:\:\:\:\:\mathrm{E}\:=\:{f}\:\left(\frac{\mathrm{1}}{\mathrm{20}}\:\right)+\:{f}\left(\frac{\:\mathrm{2}}{\mathrm{20}}\:\right)+…\:+{f}\:\left(\frac{\mathrm{19}}{\mathrm{20}}\right)\:−{f}\:\left(\frac{\mathrm{1}}{\mathrm{2}}\:\right)=? \\ $$ Answered by ARUNG_Brandon_MBU…
Question Number 185981 by mnjuly1970 last updated on 30/Jan/23 $$ \\ $$$$\:\:\:\:\:\:\:{solve}\:\:{in}\:\:\:\mathbb{R} \\ $$$$\: \\ $$$$\:\:\:\:\:\:\:\:\lfloor\:\:\mathrm{2}{x}\:\rfloor\:\:+\:\lfloor\:\:\mathrm{3}{x}\:\rfloor\:=\:\mathrm{1} \\ $$$$\: \\ $$$$\:\:\:\:\lfloor\:{x}\:\rfloor\::=\:{greatest}\:{integer}\:{number} \\ $$$$\:\:\:\:{more}\:{than}\:\:{or}\:{equal}\:\:{to}\:\:''\:{x}\:'' \\ $$ Answered…
Question Number 185982 by Shrinava last updated on 30/Jan/23 Answered by Mathspace last updated on 30/Jan/23 $${we}\:{developp}\:{first}\:\left({x}+\mathrm{1}\right)^{\mathrm{2}{n}} \\ $$$$=\sum_{{k}=\mathrm{0}} ^{\mathrm{2}{n}} {C}_{\mathrm{2}{n}} ^{{k}} {x}^{{k}} \:\:{but} \\…