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Category: Algebra

Question-51368

Question Number 51368 by gunawan last updated on 26/Dec/18 Commented by afachri last updated on 26/Dec/18 $$\mathrm{ooh}\:\mathrm{di}\:\mathrm{Ciamis}\:\mathrm{toh}.\:\mathrm{kelas}\:\mathrm{berapa}\:\mathrm{Mas}\:?? \\ $$$$\mathrm{kuliahkah}\:??? \\ $$ Commented by gunawan last…

calculus-elementary-algebra-please-solve-6x-9-1-3-7-7x-1-3-x-8-1-3-2-m-n-july-1970-

Question Number 116854 by mnjuly1970 last updated on 07/Oct/20 $$\:\:\:…\:\:\:{calculus}\:\:\:{elementary}\:\:{algebra}\:…\:\: \\ $$$$ \\ $$$$ \\ $$$$\:{please}\:{solve}\::: \\ $$$$ \\ $$$$\sqrt[{\mathrm{3}}]{\mathrm{6}{x}+\mathrm{9}}\:+\sqrt[{\mathrm{3}}]{\mathrm{7}−\mathrm{7}{x}}\:+\sqrt[{\mathrm{3}}]{{x}−\mathrm{8}}\:=\mathrm{2} \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:…{m}.{n}.{july}.\mathrm{1970}… \\…

Can-we-show-a-b-lt-a-2-ab-b-2-a-b-N-

Question Number 182379 by Rasheed.Sindhi last updated on 08/Dec/22 $$\mathrm{Can}\:\mathrm{we}\:\mathrm{show}\:\mathrm{a}+\mathrm{b}<\mathrm{a}^{\mathrm{2}} −\mathrm{ab}+\mathrm{b}^{\mathrm{2}} \\ $$$$\forall\:\mathrm{a},\mathrm{b}\in\mathbb{N} \\ $$ Commented by Frix last updated on 08/Dec/22 $$\mathrm{Check}\:\mathrm{it}\:\mathrm{for}\:{a}\in\left\{\mathrm{0},\:\mathrm{1},\:\mathrm{2}\right\} \\ $$…

Given-a-gt-b-gt-0-a-amp-b-real-number-such-that-a-2-ab-b-2-7-and-a-ab-b-1-find-the-value-of-a-2-b-2-

Question Number 116824 by bemath last updated on 07/Oct/20 $$\mathrm{Given}\:\mathrm{a}>\mathrm{b}>\mathrm{0}\:,\:\mathrm{a\&b}\:\mathrm{real}\:\mathrm{number}\:\mathrm{such}\:\mathrm{that} \\ $$$$\mathrm{a}^{\mathrm{2}} −\mathrm{ab}+\mathrm{b}^{\mathrm{2}} =\mathrm{7}\:\mathrm{and}\:\mathrm{a}−\mathrm{ab}+\mathrm{b}=−\mathrm{1}. \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{a}^{\mathrm{2}} −\mathrm{b}^{\mathrm{2}} \\ $$ Answered by 1549442205PVT last updated on…

Question-116780

Question Number 116780 by ajfour last updated on 06/Oct/20 Commented by ajfour last updated on 06/Oct/20 $${The}\:{curve}\:{in}\:{black}\:{is}\:\boldsymbol{{y}}=\boldsymbol{{x}}^{\mathrm{3}} −\boldsymbol{{x}}−\boldsymbol{{c}} \\ $$$$\:\:\:\left({c}<\frac{\mathrm{2}}{\mathrm{3}\sqrt{\mathrm{3}}}\right)\:.\:{Find}\:{the}\:{radius}\:{of}\:{circle}. \\ $$ Answered by mr…

Question-116759

Question Number 116759 by bemath last updated on 06/Oct/20 Answered by bobhans last updated on 06/Oct/20 $$=\underset{\mathrm{n}=\mathrm{0}} {\overset{\mathrm{21}} {\prod}}\left(\mathrm{2030}^{\mathrm{2}} −\left(\mathrm{2040}−\mathrm{n}\right)^{\mathrm{2}} \right) \\ $$$$=\underset{\mathrm{n}=\mathrm{0}} {\overset{\mathrm{21}} {\prod}}\left(\mathrm{2030}+\left(\mathrm{2040}−\mathrm{n}\right)\left(\mathrm{2030}−\left(\mathrm{2040}−\mathrm{n}\right)\right)\right.…

1-a-37-1-b-37-1-7a-8b-19ab-0-mod-37-a-and-b-natural-nambers-a-1-b-1-a-2-b-2-a-n-b-n-n-

Question Number 182272 by SEKRET last updated on 06/Dec/22 $$\:\:\:\:\mathrm{1}\leqslant\boldsymbol{\mathrm{a}}\leqslant\mathrm{37} \\ $$$$\:\:\:\:\mathrm{1}\leqslant\boldsymbol{\mathrm{b}}\leqslant\mathrm{37} \\ $$$$\:\:\:\mathrm{1}+\mathrm{7a}+\mathrm{8}\boldsymbol{\mathrm{b}}\:+\mathrm{19}\boldsymbol{\mathrm{ab}}\:\:=\:\mathrm{0}\:\boldsymbol{\mathrm{mod}}\left(\mathrm{37}\right)\: \\ $$$$\:\:\boldsymbol{\mathrm{a}}\:\:\:\boldsymbol{\mathrm{and}}\:\:\boldsymbol{\mathrm{b}}\:\:\boldsymbol{\mathrm{natural}}\:\:\boldsymbol{\mathrm{nambers}} \\ $$$$\:\:\:\:\:\left(\boldsymbol{\mathrm{a}}_{\mathrm{1}} ;\boldsymbol{\mathrm{b}}_{\mathrm{1}} \right)\:\left(\boldsymbol{\mathrm{a}}_{\mathrm{2}} ;\boldsymbol{\mathrm{b}}_{\mathrm{2}} \right)……\left(\boldsymbol{\mathrm{a}}_{\boldsymbol{\mathrm{n}}} ;\boldsymbol{\mathrm{b}}_{\boldsymbol{\mathrm{n}}} \right) \\…