Question Number 198093 by SteveX last updated on 10/Oct/23 Answered by Safojon last updated on 10/Oct/23 $$\sqrt{{x}}=\frac{−\mathrm{4}+\mathrm{108}−\mathrm{24}}{\mathrm{8}} \\ $$$$\sqrt{{x}}=\frac{\mathrm{80}}{\mathrm{8}}\:\:\left(\sqrt{{x}}\right)^{\mathrm{2}} =\left(\mathrm{10}\right)^{\mathrm{2}} \\ $$$${x}=\mathrm{100}. \\ $$$${answer}\:{x}=\mathrm{100} \\…
Question Number 198123 by a.lgnaoui last updated on 10/Oct/23 $$\mathrm{Determiner} \\ $$$$\mathrm{lim}_{\mathrm{x}\rightarrow\mathrm{3}} \:\frac{\boldsymbol{\mathrm{x}}−\mathrm{3}}{\:^{\mathrm{3}} \sqrt{\boldsymbol{\mathrm{x}}+\mathrm{5}}\:−\mathrm{2}} \\ $$$$ \\ $$ Answered by Mathspace last updated on 10/Oct/23…
Question Number 198084 by SANOGO last updated on 10/Oct/23 Answered by witcher3 last updated on 10/Oct/23 $$\mathrm{Ex}\:\mathrm{1} \\ $$$$\mathrm{soit}\:\mathrm{u}_{\mathrm{n}} \:\mathrm{de}\:\mathrm{cachy}\:\Rightarrow\forall\epsilon>\mathrm{0}\:\exists\mathrm{N}\:\forall\:\mathrm{n}>\mathrm{m}>\mathrm{N}\:\mathrm{d}\left(\mathrm{u}_{\mathrm{n}} ,\mathrm{u}_{\mathrm{m}} \right)<\epsilon \\ $$$$\mathrm{pour}\:\epsilon=\frac{\mathrm{1}}{\mathrm{2}}\:\mathrm{on}\:\:\mathrm{a}\:\mathrm{d}\left(\mathrm{u}_{\mathrm{n}} ,\mathrm{u}_{\mathrm{m}}…
Question Number 198114 by Tawa11 last updated on 10/Oct/23 Commented by mr W last updated on 10/Oct/23 $${it}\:{should}\:{be}\:\mathrm{20}\:{m}\:\cancel{{longer}}\:{shorter}. \\ $$ Answered by mr W last…
Question Number 198074 by sonukgindia last updated on 09/Oct/23 Answered by a.lgnaoui last updated on 10/Oct/23 $$\mathrm{x}^{\mathrm{20}} +\mathrm{2x}^{\mathrm{10}} +\mathrm{1}=\left(\mathrm{x}^{\mathrm{10}} +\mathrm{1}\right)^{\mathrm{2}} \\ $$$$\mathrm{x}^{\mathrm{8}} =\frac{\mathrm{x}^{\mathrm{10}} }{\mathrm{x}^{\mathrm{2}} }\Rightarrow…
Question Number 198064 by giovi last updated on 09/Oct/23 $$\mathrm{3}×\mathrm{5}^{{x}} +\mathrm{5}^{{x}+\mathrm{1}} =\mathrm{8}×\mathrm{5}^{\mathrm{3}} \\ $$ Answered by a.lgnaoui last updated on 09/Oct/23 $$\mathrm{3}×\mathrm{5}^{\mathrm{x}} +\mathrm{5}×\mathrm{5}^{\mathrm{x}} =\mathrm{8}×\mathrm{5}^{\mathrm{3}} \\…
Question Number 198065 by giovi last updated on 09/Oct/23 $$\mathrm{2}^{{x}} +\mathrm{9}+\mathrm{2}^{{x}} =\mathrm{40} \\ $$ Answered by a.lgnaoui last updated on 09/Oct/23 $$\:\mathrm{2}^{\mathrm{x}+\mathrm{1}} =\mathrm{31}\Rightarrow\:\:\left(\:\mathrm{x}+\mathrm{1}\right)\mathrm{ln2}=\mathrm{ln31} \\ $$$$\:\:\mathrm{x}=\frac{\mathrm{ln31}}{\mathrm{ln2}}−\mathrm{1}\:\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{x}}=\frac{\boldsymbol{\mathrm{ln}}\mathrm{31}−\boldsymbol{\mathrm{ln}}\mathrm{2}}{\boldsymbol{\mathrm{ln}}\mathrm{2}}…
Question Number 198067 by necx122 last updated on 09/Oct/23 $${A}\:{father}\:{reduced}\:{the}\:{quantity}\:{of}\:{food} \\ $$$${bought}\:{for}\:{the}\:{family}\:{by}\:\mathrm{10\%}\:{when}\:{he} \\ $$$${found}\:{that}\:{the}\:{cost}\:{of}\:{living}\:{had} \\ $$$${increased}\:{by}\:\mathrm{15\%}.\:{What}\:{is}\:{the}\:{fractional} \\ $$$${increase}\:{in}\:{the}\:{family}\:{food}\:{bill}? \\ $$ Answered by yogamulyadi last updated…
Question Number 198062 by NANIGOPAL last updated on 09/Oct/23 Commented by mr W last updated on 10/Oct/23 $${equality}\:−\mathrm{2}\:{can}\:{not}\:{hold}! \\ $$$${equality}\:\frac{\mathrm{3}\sqrt{\mathrm{3}}}{\mathrm{2}}\:{holds}\:{at}\:{A}={B}=\mathrm{20}°,\:{C}=\mathrm{140}°. \\ $$$$−\mathrm{2}<\mathrm{sin}\:\mathrm{3}{A}+\mathrm{sin}\:\mathrm{3}{B}+\mathrm{sin}\:\mathrm{3}{C}\leqslant\frac{\mathrm{3}\sqrt{\mathrm{3}}}{\mathrm{2}} \\ $$ Terms…
Question Number 198063 by mr W last updated on 10/Oct/23 $${solve}\:{for}\:{x},\:{y}\:\in{R} \\ $$$$\sqrt{{x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{1}}+\sqrt{{y}^{\mathrm{2}} −\mathrm{6}{y}+\mathrm{9}}+\sqrt{{x}^{\mathrm{2}} −\mathrm{4}{x}+\mathrm{4}}+\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} −\mathrm{2}{xy}}=\mathrm{4} \\ $$ Answered by witcher3 last updated…