Question Number 180149 by Shrinava last updated on 07/Nov/22 $$\mathrm{If}\:\:\omega−\mathrm{Brocard}'\mathrm{s}\:\mathrm{angle}\:\mathrm{in}\:\:\bigtriangleup\mathrm{ABC}\:\:\mathrm{then}: \\ $$$$\underset{\boldsymbol{\mathrm{cyc}}} {\prod}\:\left(\frac{\mathrm{1}}{\mathrm{sin}\:\omega}\:−\:\mathrm{2}\:\mathrm{cos}\:\mathrm{A}\right)\:\geqslant\:\mathrm{1} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 114592 by Aziztisffola last updated on 19/Sep/20 $$\mathrm{Solve}\::\:{x}^{\mathrm{2}} +\mathrm{2}{x}−\mathrm{1}\equiv\mathrm{0}\left(\mathrm{mod}\:\mathrm{3}\right) \\ $$ Answered by MJS_new last updated on 19/Sep/20 $${x}^{\mathrm{2}} +\mathrm{2}{x}−\mathrm{1}=\mathrm{3}{k}\:\mathrm{with}\:{k}\in\mathbb{Z} \\ $$$$\Rightarrow\:{x}=−\mathrm{1}\pm\sqrt{\mathrm{3}{k}+\mathrm{2}} \\…
Question Number 114593 by abdullahquwatan last updated on 19/Sep/20 $$\frac{\mid{x}−\mathrm{1}\mid}{\mid{x}\mid−\mathrm{1}}\:\leqslant\:\mathrm{1} \\ $$ Answered by MJS_new last updated on 19/Sep/20 $$\left(\mathrm{1}\right)\:\mid{x}\mid−\mathrm{1}\neq\mathrm{0}\:\Rightarrow\:{x}\neq\pm\mathrm{1} \\ $$$$\left(\mathrm{2}\right)\:\mid{x}\mid−\mathrm{1}<\mathrm{0}\:\Rightarrow\:−\mathrm{1}<{x}<\mathrm{1} \\ $$$$\:\:\:\:\:\:\:\mid{x}−\mathrm{1}\mid\geqslant\mid{x}\mid−\mathrm{1}\:\mathrm{true}\:\forall{x}\in\mathbb{R} \\…
Question Number 114551 by bemath last updated on 19/Sep/20 $${The}\:{value}\:{of}\:{x}\:{in}\:{the}\:{given}\:{equation} \\ $$$$\mathrm{4}^{{x}} −\mathrm{3}^{{x}−\frac{\mathrm{1}}{\mathrm{2}}} \:=\:\mathrm{3}^{{x}+\frac{\mathrm{1}}{\mathrm{2}}} \:−\mathrm{2}^{\mathrm{2}{x}−\mathrm{1}} \:,\:{is}\:\_, \\ $$ Commented by Dwaipayan Shikari last updated on…
Question Number 180082 by a.lgnaoui last updated on 07/Nov/22 $${Sachant}\:{que}\:\:\mathrm{A}_{\mathrm{1}} \mathrm{A}_{\mathrm{2}} =\mathrm{10}{cm}:\:\measuredangle\mathrm{AAB}=\mathrm{75}^{°} \\ $$$$\mathrm{1}−{Determiner}\:{l}\:'{angle}\:{x} \\ $$$$\mathrm{2}−{Determiner}\:{la}\:{distance}\:\mathrm{A}_{\mathrm{1}} \mathrm{A6} \\ $$$$\mathrm{3}−{Determiner}\:{la}\:{hauteur}\left[{h}\right]=\mathrm{A}_{\mathrm{6}} \mathrm{B} \\ $$ Commented by a.lgnaoui…
Question Number 114538 by Study last updated on 19/Sep/20 $${how}\:{many}\:{trees}\:{can}\:{be}\:{planted}\:{in}\:{one} \\ $$$${square}\:{meter}\:{area}\:{if}\:{the}\:{distance}\: \\ $$$${between}\:{each}\:{tow}\:{trees}\:{is}\:\mathrm{3}{cm}? \\ $$ Commented by Study last updated on 19/Sep/20 $${help}\:{me} \\…
Question Number 180069 by Acem last updated on 06/Nov/22 $${a}^{\mathrm{2}} −{b}^{\mathrm{2}} =\:\mathrm{4}\:,\:{ab}=\:\mathrm{2}\:\:\:,\:{a}+{b}=\:? \\ $$ Commented by Acem last updated on 07/Nov/22 $${Have}\:{a}\:{good}\:{day}\:{my}\:{brothers} \\ $$$$\:{mr}.\:{W}\:{and}\:{mr}.\:{Rasheed} \\…
Question Number 114511 by 1549442205PVT last updated on 19/Sep/20 $$\mathrm{Find}\:\mathrm{numbers}\:\mathrm{which}\:\mathrm{are}\:\mathrm{common} \\ $$$$\mathrm{terms}\:\mathrm{of}\:\mathrm{the}\:\mathrm{two}\:\mathrm{following}\:\mathrm{arithmetic} \\ $$$$\mathrm{progression}: \\ $$$$\mathrm{3},\mathrm{7},\mathrm{11},…,\mathrm{407}\:\mathrm{and}\:\mathrm{2},\mathrm{9},\mathrm{16},…,\mathrm{709} \\ $$ Commented by bobhans last updated on 19/Sep/20…
Question Number 180035 by a.lgnaoui last updated on 06/Nov/22 $$ \\ $$ Commented by a.lgnaoui last updated on 06/Nov/22 Commented by mnjuly1970 last updated on…