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Category: Algebra

BeMath-x-4-1-x-4-23-x-3-1-x-3-

Question Number 107945 by bemath last updated on 13/Aug/20 $$\:\:\:\:\:\:\frac{\circ\mathbb{B}{e}\mathbb{M}{ath}\circ}{\wedge\smile\wedge} \\ $$$$\:\:\:\begin{cases}{{x}^{\mathrm{4}} +\frac{\mathrm{1}}{{x}^{\mathrm{4}} }\:=\:\mathrm{23}}\\{{x}^{\mathrm{3}} −\frac{\mathrm{1}}{{x}^{\mathrm{3}} }\:=\:?}\end{cases} \\ $$ Answered by $@y@m last updated on 13/Aug/20…

Question-173445

Question Number 173445 by AgniMath last updated on 11/Jul/22 Answered by Rasheed.Sindhi last updated on 11/Jul/22 $$\frac{{a}}{\mathrm{3}}=\frac{{a}+{b}}{\mathrm{4}}=\frac{{a}+{b}+{c}}{\mathrm{5}}=\frac{{a}+{b}+{c}+{d}}{\mathrm{6}}={k} \\ $$$${a}=\mathrm{3}{k} \\ $$$${a}+{b}=\mathrm{4}{k}\Rightarrow{b}=\mathrm{4}{k}−\mathrm{3}{k}={k} \\ $$$${a}+{b}+{c}=\mathrm{5}{k}\Rightarrow\mathrm{4}{k}+{c}=\mathrm{5}{k}\Rightarrow{c}={k} \\ $$$${a}+{b}+{c}+{d}=\mathrm{6}{k}\Rightarrow\mathrm{5}{k}+{d}=\mathrm{6}{k}\Rightarrow{d}={k}…

Find-value-of-such-that-the-following-system-has-infinite-many-solutions-x-3z-3-2x-y-z-2-x-2y-z-1-

Question Number 42375 by Joel578 last updated on 24/Aug/18 $$\mathrm{Find}\:\mathrm{value}\:\mathrm{of}\:\:\alpha\:\mathrm{such}\:\mathrm{that}\:\mathrm{the}\:\mathrm{following}\:\mathrm{system} \\ $$$$\mathrm{has}\:\mathrm{infinite}\:\mathrm{many}\:\mathrm{solutions} \\ $$$$ \\ $$$${x}\:−\:\mathrm{3}{z}\:=\:−\mathrm{3} \\ $$$$−\mathrm{2}{x}\:−\:\alpha{y}\:+\:{z}\:=\:\mathrm{2} \\ $$$${x}\:+\:\mathrm{2}{y}\:+\:\alpha{z}\:=\:\mathrm{1} \\ $$ Commented by Joel578…

Question-173431

Question Number 173431 by mnjuly1970 last updated on 11/Jul/22 Commented by Rasheed.Sindhi last updated on 11/Jul/22 $$\left({a},{b}\right)=\left(\mathrm{10},\mathrm{13}\right),\left(\mathrm{13},\mathrm{10}\right); \\ $$$${n}=\mathrm{3197}=\mathrm{23}×\mathrm{139} \\ $$ Commented by mr W…

Question-173430

Question Number 173430 by dragan91 last updated on 11/Jul/22 Commented by Rasheed.Sindhi last updated on 11/Jul/22 $${a}=\mathrm{0},\:{b}={c}=\mathrm{2} \\ $$$${a}=−\mathrm{1},\left({b},{c}\right)=\left(\mathrm{0},\mathrm{1}\right),\left(\mathrm{1},\mathrm{0}\right),\left(\mathrm{1},\mathrm{1}\right) \\ $$ Commented by dragan91 last…

In-ABC-the-following-relationship-holds-a-3-b-3-c-3-h-a-3-h-b-3-h-c-3-5832-3-r-6-

Question Number 173426 by Shrinava last updated on 11/Jul/22 $$\mathrm{In}\:\:\bigtriangleup\mathrm{ABC}\:\:\mathrm{the}\:\mathrm{following}\:\mathrm{relationship} \\ $$$$\mathrm{holds}: \\ $$$$\left(\mathrm{a}^{\mathrm{3}} +\mathrm{b}^{\mathrm{3}} +\mathrm{c}^{\mathrm{3}} \right)\left(\mathrm{h}_{\boldsymbol{\mathrm{a}}} ^{\mathrm{3}} +\mathrm{h}_{\boldsymbol{\mathrm{b}}} ^{\mathrm{3}} +\mathrm{h}_{\boldsymbol{\mathrm{c}}} ^{\mathrm{3}} \right)\:\geqslant\:\mathrm{5832}\:\sqrt{\mathrm{3}}\:\mathrm{r}^{\mathrm{6}} \\ $$…

Question-173420

Question Number 173420 by AgniMath last updated on 11/Jul/22 Answered by Rasheed.Sindhi last updated on 11/Jul/22 $${x}+{y}+{z}=\mathrm{0}; \\ $$$$\frac{\mathrm{1}}{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} −{z}^{\mathrm{2}} }+\frac{\mathrm{1}}{{y}^{\mathrm{2}} +{z}^{\mathrm{2}} −{x}^{\mathrm{2}} }+\frac{\mathrm{1}}{{z}^{\mathrm{2}}…

In-triangle-ABC-AD-is-the-bisector-of-A-meets-BC-at-D-if-2-C-B-and-AB-DC-Find-BAC-

Question Number 173421 by Shrinava last updated on 11/Jul/22 $$\mathrm{In}\:\mathrm{triangle}\:\:\mathrm{ABC},\:\mathrm{AD}\:\mathrm{is}\:\mathrm{the}\:\mathrm{bisector} \\ $$$$\mathrm{of}\:\:\angle\mathrm{A}\:\:\mathrm{meets}\:\:\mathrm{BC}\:\mathrm{at}\:\mathrm{D},\:\mathrm{if}\:\:\mathrm{2}\angle\mathrm{C}=\angle\mathrm{B} \\ $$$$\mathrm{and}\:\mathrm{AB}=\mathrm{DC}.\:\mathrm{Find}\:\angle\mathrm{BAC} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com