Question Number 174269 by mr W last updated on 28/Jul/22 $${solve}\:\left({x}^{\mathrm{2}} −\mathrm{3}\right)^{\mathrm{2}} ={x}+\mathrm{3} \\ $$ Answered by Frix last updated on 28/Jul/22 $$\mathrm{obviously}\:{x}=\mathrm{1}\vee{x}=−\mathrm{2}\:\mathrm{the}\:\mathrm{other}\:\mathrm{2}\:\mathrm{are}\:\mathrm{easy} \\ $$…
Question Number 174267 by mnjuly1970 last updated on 28/Jul/22 $$ \\ $$$$\:\:\:\:\:\:\:\:\mathrm{Q}::\:\:\mathrm{Find}\:\:\:\mathrm{the}\:\:\mathrm{value}\:\:\mathrm{of}\:: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathbb{M}\mathrm{ax}_{\:{x}\in\:\left[\:\mathrm{0}\:,\:\frac{\pi}{\mathrm{2}}\:\right]} \:\:\left\{\:\mathrm{sin}\:\left({x}\:\right).\:\mathrm{cos}^{\:\mathrm{3}} \left(\:{x}\:\right)\mid\:\:\right\}=?\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\: \\ $$ Commented…
Question Number 108725 by pete last updated on 18/Aug/20 $$\mathrm{The}\:\mathrm{ratio}\:\mathrm{of}\:\mathrm{the}\:\mathrm{profit},\:\mathrm{cost}\:\mathrm{of}\:\mathrm{materials} \\ $$$$\mathrm{and}\:\mathrm{labour}\:\mathrm{in}\:\mathrm{the}\:\mathrm{production}\:\mathrm{of}\:\mathrm{an}\:\mathrm{article} \\ $$$$\mathrm{is}\:\mathrm{5}:\mathrm{7}:\mathrm{13}\:\mathrm{respectively}.\:\mathrm{If}\:\mathrm{the}\:\mathrm{cost}\:\mathrm{of}\:\mathrm{materials} \\ $$$$\mathrm{is}\:\$\:\mathrm{840}\:\mathrm{more}\:\mathrm{than}\:\mathrm{that}\:\mathrm{of}\:\mathrm{labour},\:\mathrm{find} \\ $$$$\mathrm{the}\:\mathrm{total}\:\mathrm{cost}\:\mathrm{of}\:\mathrm{producing}\:\mathrm{the}\:\mathrm{article}. \\ $$ Answered by Don08q last updated…
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Question Number 174253 by mathlove last updated on 28/Jul/22 Answered by mnjuly1970 last updated on 28/Jul/22 $$\:\:\:{x}^{\:\mathrm{3}} +\mathrm{3}{x}^{\:\mathrm{2}} +\mathrm{3}{x}\:+\mathrm{1}\:=\:\mathrm{2023}{x} \\ $$$$\:\:\:\:\:\left({x}+\mathrm{1}\right)^{\:\mathrm{3}} =\:\mathrm{2023}{x} \\ $$$$\:\:\:\:\:\:\:{x}+\mathrm{1}=\:\sqrt[{\mathrm{3}}]{\mathrm{2023}}\:.\sqrt[{\mathrm{3}}]{{x}} \\…
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Question Number 174227 by mnjuly1970 last updated on 27/Jul/22 $$ \\ $$$$\:\:\:{Q}\:: \\ $$$$\:\:\:\:\:\:\:{Max}_{\underset{{x}>\mathrm{1}} {\:}} \:\left(\frac{\:{x}^{\:\mathrm{4}} −{x}^{\:\mathrm{2}} }{{x}^{\:\mathrm{6}} +\:\mathrm{2}{x}^{\:\mathrm{3}} −\:\mathrm{1}}\:\right)\:=\:? \\ $$$$ \\ $$ Commented…
for-positive-real-number-x-and-y-xy-16-then-find-the-minimum-value-of-x-y-greatest-integer-function-
Question Number 174211 by infinityaction last updated on 27/Jul/22 $${for}\:{positive}\:{real}\:{number}\:{x}\: \\ $$$${and}\:{y}\:,\:{xy}\:=\:\mathrm{16}\:{then}\:{find}\:{the} \\ $$$$\:{minimum}\:{value}\:{of}\:\:\left[{x}\right]+\left[{y}\right]\:, \\ $$$$\left[\:\right]\:{greatest}\:{integer}\:{function} \\ $$ Answered by MJS_new last updated on 27/Jul/22…
Question Number 174203 by Michaelfaraday last updated on 27/Jul/22 $${solve}: \\ $$$${x}!=\mathrm{9}, \\ $$$${find}\:{x} \\ $$$$ \\ $$ Commented by mr W last updated on…
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