Question Number 157749 by naka3546 last updated on 27/Oct/21 $${a}^{\mathrm{2}} +\:{b}^{\mathrm{2}} \:+\:{c}^{\mathrm{2}} \:+\:{d}^{\mathrm{2}} \:=\:\mathrm{4} \\ $$$${a},{b},{c},{d}\:\in\:\mathbb{R} \\ $$$${max}\left\{{a}^{\mathrm{3}} \:+\:{b}^{\mathrm{3}} \:+\:{c}^{\mathrm{3}} \:+\:{d}^{\mathrm{3}} \right\}\:\:=\:\:? \\ $$ Commented…
Question Number 157725 by joki last updated on 27/Oct/21 $$\mathrm{form}\:\mathrm{f}\left(\mathrm{x},\mathrm{y},\mathrm{z}\right)\:=\left(\left(\mathrm{xy}\right)'\mathrm{c}\right)'\left(\left(\mathrm{x}'+\mathrm{c}\right)\left(\mathrm{y}'+\mathrm{z}'\right)\right)'\: \\ $$$$\mathrm{in}\:\mathrm{standard}\:\mathrm{SOP}\:\mathrm{form}\:\mathrm{and}\:\mathrm{canonical}\:\mathrm{SOP}\:\mathrm{form} \\ $$ Answered by Kunal12588 last updated on 27/Oct/21 $$\left[\left({xy}\right)'{c}\right]'\left[\left({x}'+{c}\right)\left({y}'+{z}'\right)\right]' \\ $$$$=\left[\left(\left({xy}\right)'\right)'+{c}'\right]\left[\left({x}'+{c}\right)'+\left({y}'+{z}'\right)'\right] \\…
Question Number 26649 by Mr eaay last updated on 27/Dec/17 $${Solve}\:{the}\:{equation}:{x}+{y}=\mathrm{5}−−−{i} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{x}^{{x}} +\:{y}^{{y}} =\mathrm{31}−−−{ii} \\ $$$${No}\:{trial}\:{and}\:{error} \\ $$$$ \\ $$ Commented by mrW1 last…
Question Number 92179 by otchereabdullai@gmail.com last updated on 05/May/20 $$\left(\frac{\mathrm{x}}{\mathrm{12}}\right)^{\mathrm{log}_{\sqrt{\mathrm{3}}} \mathrm{x}} =\left(\frac{\mathrm{x}}{\mathrm{18}}\right)^{\mathrm{log}_{\sqrt{\mathrm{2}}} \mathrm{x}} \\ $$$$\mathrm{find}\:\mathrm{x} \\ $$ Commented by john santu last updated on 05/May/20…
Question Number 157706 by Oberon last updated on 26/Oct/21 Answered by mr W last updated on 26/Oct/21 $$\mathrm{2}{a}_{{n}} =\sqrt{\frac{\mathrm{2}{a}_{{n}−\mathrm{1}} +\mathrm{1}}{\mathrm{2}}} \\ $$$${let}\:{b}_{{n}} =\mathrm{2}{a}_{{n}} \\ $$$${b}_{{n}}…
Question Number 157660 by naka3546 last updated on 26/Oct/21 $${Given}\:\:{x}_{\mathrm{1}} \:=\:\mathrm{1},\:{x}_{\mathrm{2}} \:,\:{x}_{\mathrm{3}} \:,\:\ldots,\:{is}\:\:{a}\:\:{real}\:\:{numbers}\:\:{sequence}\:\:{for}\:\:{n}\:\geqslant\:\mathrm{1}\:\:{with}\:\: \\ $$$${recurrence}\:\:{relation}\:\:{x}_{{n}+\mathrm{1}} \:−\:{x}_{{n}} \:=\:\frac{\mathrm{1}}{\mathrm{2}{x}_{{n}} }\:\:. \\ $$$$\left[{x}\right]\:\:{is}\:\:{expressed}\:\:{as}\:\:{the}\:\:{largest}\:\:{integer}\:\:{of}\:\:{x}\:\:. \\ $$$$\left[\mathrm{25}{x}_{\mathrm{625}} \right]\:\:=\:\:? \\ $$…
Question Number 92118 by otchereabdullai@gmail.com last updated on 04/May/20 $$\mathrm{If}\:\:\mathrm{9}^{\mathrm{2x}+\mathrm{1}\:\:\:} =\:\:\frac{\mathrm{81}^{\mathrm{x}−\mathrm{2}} }{\mathrm{3x}}\:\:.\:\:\:\:\:\:\:\:\:\:\:\mathrm{find}\:\mathrm{x} \\ $$ Commented by john santu last updated on 05/May/20 $$\mathrm{9}^{\mathrm{2x}+\mathrm{1}} \:=\:\frac{\mathrm{81}^{\mathrm{x}−\mathrm{2}} }{\mathrm{3}^{\mathrm{x}}…
Question Number 92117 by otchereabdullai@gmail.com last updated on 04/May/20 $$\mathrm{solve}\:\mathrm{for}\:\mathrm{x}\:\mathrm{and}\:\mathrm{y}\:\mathrm{if}: \\ $$$$\sqrt{\mathrm{x}}+\mathrm{y}=\mathrm{11}\:\:\:\:\mathrm{and}\:\:\:\:\mathrm{x}+\sqrt{\mathrm{y}}=\mathrm{7} \\ $$ Commented by john santu last updated on 05/May/20 Commented by niroj…
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Question Number 157630 by Oberon last updated on 25/Oct/21 Commented by ehab last updated on 25/Oct/21 $$ \\ $$ Answered by mindispower last updated on…