Question Number 192786 by MM42 last updated on 27/May/23 $${N}=<{aabb}>\in\mathbb{N}\:\:\&\:\:{N}\:\:{is}\:\:{perfect}\:{square} \\ $$$${find}\:\:{N}\:\:? \\ $$$$ \\ $$ Answered by AST last updated on 27/May/23 $$\mathrm{1100}{a}+\mathrm{11}{b}={x}^{\mathrm{2}} \Rightarrow\mathrm{11}\left(\mathrm{100}{a}+{b}\right)={x}^{\mathrm{2}}…
Question Number 192780 by ajfour last updated on 27/May/23 Commented by ajfour last updated on 27/May/23 Find m in terms of c, hence p. Answered by ajfour last updated on 27/May/23 $${y}={x}^{\mathrm{3}}…
Question Number 127247 by ZiYangLee last updated on 28/Dec/20 Answered by mr W last updated on 28/Dec/20 $${y}=−\frac{{k}}{\mathrm{3}}{x}−\left(\frac{{k}}{\mathrm{3}}+\mathrm{2}\right) \\ $$$${such}\:{that}\:{the}\:{line}\:{doesn}'{t}\:{pass} \\ $$$${through}\:{quadrant}\:{I}, \\ $$$$−\left(\frac{{k}}{\mathrm{2}}+\mathrm{2}\right)<\mathrm{0}\:{and}\:\left(−\frac{{k}}{\mathrm{3}}\leqslant\mathrm{0}\right) \\…
Question Number 127244 by bounhome last updated on 28/Dec/20 $${solve}\::\:{log}_{\mathrm{2}} \left(\frac{\mathrm{3}{x}−\mathrm{7}}{\mathrm{2}{x}−\mathrm{1}}\right)={x}−\mathrm{6} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 61708 by hhghg last updated on 06/Jun/19 $$\mathrm{8}+\left(\mathrm{4}+\mathrm{3}×\mathrm{2}\right) \\ $$ Commented by Mikael last updated on 06/Jun/19 $$\mathrm{8}+\mathrm{4}+\mathrm{6}=\mathrm{18} \\ $$ Terms of Service…
Question Number 192777 by York12 last updated on 26/May/23 $$\sqrt{{x}^{\mathrm{2}} +{ax}−\mathrm{1}}−\sqrt{{x}^{\mathrm{2}} +{bx}−\mathrm{1}}=\sqrt{{a}}−\sqrt{{b}} \\ $$$${find}\:{x}\:. \\ $$ Commented by Frix last updated on 27/May/23 $$\mathrm{Obviously}\:{x}=\mathrm{1} \\…
Question Number 61707 by hhghg last updated on 06/Jun/19 $$\mathrm{6}^{−\mathrm{3}} \\ $$ Commented by Mikael last updated on 06/Jun/19 $$=\:\left(\frac{\mathrm{1}}{\mathrm{6}}\right)^{\mathrm{3}} =\:\frac{\mathrm{1}}{\mathrm{216}} \\ $$ Terms of…
Question Number 61706 by hhghg last updated on 06/Jun/19 $$\frac{\mathrm{7}^{\mathrm{10}} }{\mathrm{7}^{\mathrm{7}} } \\ $$ Commented by Mikael last updated on 06/Jun/19 $$\mathrm{7}^{\mathrm{10}−\mathrm{7}} \:=\:\mathrm{7}^{\mathrm{3}} \:=\:\mathrm{343} \\…
Question Number 127236 by Bird last updated on 28/Dec/20 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{{lnx}}{\left({x}^{\mathrm{2}} \:−{x}+\mathrm{1}\right)^{\mathrm{2}} }{dx} \\ $$ Answered by mindispower last updated on 28/Dec/20 $$=\int_{\mathrm{0}} ^{\infty}…
Question Number 127237 by bramlexs22 last updated on 28/Dec/20 $$\:{Nice}…\int\:\frac{\sqrt{\mathrm{1}−\mathrm{ln}\:^{\mathrm{2}} \left({x}\right)}}{{x}\:\mathrm{ln}\:\left({x}\right)}\:{dx}\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int\:\sqrt{\frac{{x}}{\mathrm{1}−{x}^{\mathrm{3}} }}\:{dx}\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\int\:\sqrt{\frac{\mathrm{4}−{x}}{{x}}}\:{dx}\: \\ $$ Commented by bramlexs22 last updated on 28/Dec/20…