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Category: Algebra

x-4-x-1-gt-4x-5-

Question Number 180569 by SAMIRA last updated on 13/Nov/22 $$\sqrt{\boldsymbol{{x}}+\mathrm{4}}\:−\:\sqrt{\boldsymbol{{x}}−\mathrm{1}}\:>\:\sqrt{\mathrm{4}\boldsymbol{{x}}+\mathrm{5}} \\ $$ Commented by Frix last updated on 14/Nov/22 $$\mathrm{false}. \\ $$$$\mathrm{the}\:\mathrm{inequality}\:\mathrm{is}\:\mathrm{defined}\:\mathrm{for}\:{x}\geqslant\mathrm{1} \\ $$$$\mathrm{but}\:\mathrm{for}\:{x}\geqslant\mathrm{0}:\:\sqrt{{x}+\mathrm{4}}<\sqrt{\mathrm{4}{x}+\mathrm{5}} \\…

Resoudre-dans-R-1-a-b-c-2-a-2-b-2-c-2-6-1-a-1-b-1-c-1-2-2-x-2-xy-y-2-3-y-2-yz-z-2-7-z-2-zx-x-2-13-

Question Number 180542 by a.lgnaoui last updated on 13/Nov/22 $${Resoudre}\:{dans}\:\mathbb{R} \\ $$$$\left.\mathrm{1}\right) \\ $$$${a}+{b}+{c}=\mathrm{2} \\ $$$${a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} =\mathrm{6} \\ $$$$\frac{\mathrm{1}}{{a}}+\frac{\mathrm{1}}{{b}}+\frac{\mathrm{1}}{{c}}=\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$ \\ $$$$\left.\mathrm{2}\right)…

Question-180490

Question Number 180490 by Shrinava last updated on 12/Nov/22 Answered by a.lgnaoui last updated on 13/Nov/22 $${m}=\mathrm{60\%}{M}={Masse}\left({final}\right) \\ $$$${m}+{x}\:\:\:\:\:{x}={masse}\:{sugar} \\ $$$$\mathrm{76\%}\left(\mathrm{60\%}{M}+{x}\right)+{x}=\mathrm{100\%}{M} \\ $$$$\mathrm{76}\left(\mathrm{60\%}{M}+{x}\right)=\mathrm{100}{M} \\ $$$$\mathrm{76}×\mathrm{60\%}{M}+\mathrm{76}{x}+{x}=\mathrm{100}{M}…

Question-180483

Question Number 180483 by Shrinava last updated on 12/Nov/22 Commented by MJS_new last updated on 12/Nov/22 $$\mathrm{it}'\mathrm{s}\:\mathrm{possible}\:\mathrm{to}\:\mathrm{find}\:\mathrm{an}\:\mathrm{infinite}\:\mathrm{number}\:\mathrm{of} \\ $$$$\mathrm{sequences}\:{a}_{{n}} \:\mathrm{with} \\ $$$${a}_{\mathrm{1}} =\frac{\mathrm{4}}{\mathrm{3}}\wedge{a}_{\mathrm{2}} =\frac{\mathrm{4}}{\mathrm{5}}\wedge{a}_{\mathrm{3}} =\frac{\mathrm{24}}{\mathrm{25}}\wedge{a}_{\mathrm{4}}…