Question Number 10973 by ridwan balatif last updated on 05/Mar/17 $$\mid\mid{x}\mid+\mathrm{2x}\mid\leqslant\mathrm{3},\:\mathrm{interval}\:\mathrm{x}=…? \\ $$$$\mathrm{A}.−\mathrm{3}\leqslant{x}\leqslant\mathrm{3} \\ $$$$\mathrm{B}.\:{x}\geqslant\mathrm{0} \\ $$$$\mathrm{C}.\:{x}\leqslant\mathrm{0} \\ $$$$\mathrm{D}.\:−\mathrm{1}\leqslant{x}\leqslant\mathrm{1} \\ $$$$\mathrm{E}.\:{x}\leqslant\mathrm{2} \\ $$ Commented by…
Question Number 142023 by SOMEDAVONG last updated on 25/May/21 $$\mathrm{S}_{\mathrm{n}} =\underset{\mathrm{k}=\mathrm{0}} {\overset{\mathrm{n}} {\sum}}\frac{\mathrm{1}}{\left(\mathrm{n}−\mathrm{k}\right)!\left(\mathrm{n}+\mathrm{k}\right)!}\:=?? \\ $$ Answered by aleks041103 last updated on 25/May/21 $$\frac{\mathrm{1}}{\left({n}−{k}\right)!\left({n}+{k}\right)!}= \\ $$$$=\frac{\mathrm{1}}{\left(\mathrm{2}{n}\right)!}\:\frac{\left(\mathrm{2}{n}\right)!}{\left({n}−{k}\right)!\left(\left(\mathrm{2}{n}\right)−\left({n}−{k}\right)\right)!}=…
Question Number 141994 by jlewis last updated on 25/May/21 $$\mathrm{factorise}\:\:\mathrm{x}−\sqrt{\mathrm{xy}\:}\:+\sqrt{\mathrm{2y}}\:−\sqrt{\mathrm{2x}\:}\: \\ $$ Answered by Dwaipayan Shikari last updated on 25/May/21 $${x}−\sqrt{{xy}}+\sqrt{\mathrm{2}{y}}−\sqrt{\mathrm{2}{x}} \\ $$$$=\sqrt{{x}}\left(\sqrt{{x}}−\sqrt{{y}}\right)−\sqrt{\mathrm{2}}\left(\sqrt{{x}}−\sqrt{{y}}\right) \\ $$$$=\left(\sqrt{{x}}−\sqrt{{y}}\right)\left(\sqrt{{x}}−\sqrt{\mathrm{2}}\right)…
Question Number 76455 by Maclaurin Stickker last updated on 27/Dec/19 $${In}\:{a}\:{triangle}\:{whose}\:{sides}\:{measure} \\ $$$$\mathrm{5}\:{cm},\:\mathrm{6}\:{cm},\:{and}\:\:\mathrm{7}\:{cm}\:{a}\:{point}\:{P},\:{inside} \\ $$$${the}\:{triangle}\:{is}\:\mathrm{2}\:{cm}\:{from}\:{de}\:{long}\:{side} \\ $$$$\mathrm{5}\:{cm}\:{and}\:\mathrm{3}\:{cm}\:{from}\:{the}\:{long}\:{side} \\ $$$$\mathrm{6}\:{cm}.\:{What}\:{is}\:{the}\:{distance}\:{from}\:{P} \\ $$$${beside}\:\mathrm{7}\:{cm}\:{side}? \\ $$ Commented by…
Question Number 10912 by geovane10math last updated on 01/Mar/17 $$\mathrm{5}^{\mathrm{log}_{\mathrm{2}} \mathrm{3}} \:\mathrm{is}\:\mathrm{transcendental}? \\ $$$$\mathrm{General}: \\ $$$$\mathrm{Let}\:{a},{b}\:\mathrm{and}\:{c}\:\mathrm{algebraic}\:\mathrm{and}\:\mathrm{log}_{{b}} {c}\: \\ $$$$\mathrm{transcendental}.\:\mathrm{If}\:{a}^{\mathrm{log}_{{b}} {c}} \:\mathrm{is}\:\mathrm{algebraic},\:\mathrm{so} \\ $$$${b}\:=\:{a}^{{q}} ,\:\mathrm{with}\:{q}\:\mathrm{rational}? \\…
Question Number 141987 by dhgt last updated on 25/May/21 Commented by dhgt last updated on 25/May/21 Answered by mindispower last updated on 26/May/21 $${what}\:{Quation}\:{sir}? \\…
Question Number 76443 by aliesam last updated on 27/Dec/19 Answered by mr W last updated on 27/Dec/19 $${x}+{y}=\mathrm{2}{a} \\ $$$${xy}=\frac{\left({b}^{\mathrm{2}} −\mathrm{1}\right){a}^{\mathrm{2}} }{{b}^{\mathrm{2}} } \\ $$$${x}\left(\mathrm{2}{a}−{x}\right)=\frac{\left({b}^{\mathrm{2}}…
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Question Number 10889 by geovane10math last updated on 28/Feb/17 $$\mathrm{The}\:\mathrm{solution}\:\mathrm{of}\:\mathrm{the}\:\mathrm{Schanuel}'\mathrm{s}\:\mathrm{Conjecture} \\ $$$$\mathrm{will}\:\mathrm{to}\:\mathrm{decide}\:\mathrm{if}\:\gamma\:\mathrm{is}\:\mathrm{transcendental}\:\mathrm{or}\:\mathrm{not}? \\ $$$$\mathrm{Tell}\:\mathrm{me}\:\mathrm{all}\:\mathrm{consequences}\:\mathrm{of}\:\mathrm{the}\:\mathrm{conjecture}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 141945 by Sammie last updated on 25/May/21 $$\mathrm{f}\left(\mathrm{x}\right)=\sqrt[{\mathrm{3}}]{\left(\mid\mathrm{x}\mid−\mathrm{1}\right)\left(\mid\mathrm{x}\mid−\mathrm{2}\right)^{\mathrm{2}} } \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{domain}\:\mathrm{of}\:\mathrm{f} \\ $$ Answered by MJS_new last updated on 25/May/21 $$\mathrm{if}\:\mathrm{we}\:\mathrm{use}\:\sqrt[{\mathrm{3}}]{−{t}}=−\sqrt[{\mathrm{3}}]{{t}}\:\forall{t}\in\mathbb{R}^{+} \Rightarrow\:{f}\left({x}\right)\:\mathrm{is}\:\mathrm{defined}\:\forall{x}\in\mathbb{R} \\…