Question Number 44826 by Joel578 last updated on 05/Oct/18 $$\mathrm{Let}\:{A}\:\mathrm{and}\:{B}\:\mathrm{be}\:\mathrm{sets}. \\ $$$$\mathrm{Prove}\:\mathrm{that}\:{A}\:=\:{B}\:\mathrm{if}\:\mathrm{and}\:\mathrm{only}\:\mathrm{if}\:{A}\:\cup\:{B}\:=\:{A}\:\cap\:{B} \\ $$ Answered by Kunal12588 last updated on 05/Oct/18 $${A}\:\cup{B}={A}\cap{B}\:……\left(\mathrm{1}\right) \\ $$$${let}\:\:{x}\in{A} \\…
Question Number 175800 by cortano1 last updated on 07/Sep/22 $$\:\mathrm{Find}\:\mathrm{prime}\:\mathrm{numbers}\:\mathrm{of} \\ $$$$\:\:\mathrm{3}\:\mathrm{digits}\:\mathrm{such}\:\mathrm{that}\:\mathrm{equal}\:\mathrm{to} \\ $$$$\:\mathrm{sum}\:\mathrm{of}\:\mathrm{3}\:\mathrm{diffrent}\:\mathrm{numbers}\:\mathrm{of} \\ $$$$\:\:\mathrm{prime} \\ $$ Answered by BaliramKumar last updated on 07/Sep/22…
Question Number 175353 by Eulerian last updated on 28/Aug/22 $$\:\mathrm{ax}^{\mathrm{2}} +\mathrm{bx}+\mathrm{c}\:=\:\mathrm{0} \\ $$$$\: \\ $$$$\:\mathrm{x}\:=\:\frac{−\mathrm{b}\pm\sqrt{\mathrm{b}^{\mathrm{2}} −\mathrm{4ac}}}{\mathrm{2a}} \\ $$$$\: \\ $$$$\:\mathrm{Example}: \\ $$$$\: \\ $$$$\:\mathrm{Find}\:\mathrm{the}\:\mathrm{values}\:\mathrm{of}\:\mathrm{x}\:\mathrm{in}\:\mathrm{the}\:\mathrm{equation} \\…
Question Number 42763 by Joel578 last updated on 02/Sep/18 $$\mathrm{For}\:{A}\:=\:\left\{\mathrm{1},\:\mathrm{2},\:\mathrm{3}\right\},\:\mathrm{let}\:{B}\:\mathrm{be}\:\mathrm{the}\:\mathrm{set}\:\mathrm{of}\:\mathrm{2}−\mathrm{element}\:\mathrm{sets} \\ $$$$\mathrm{belonging}\:\mathrm{to}\:{P}\left({A}\right)\:\mathrm{and}\:\mathrm{let}\:{C}\:\mathrm{be}\:\mathrm{the}\:\mathrm{set}\:\mathrm{consisting}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{sets}\:\mathrm{that}\:\mathrm{are}\:\mathrm{intersections}\:\mathrm{of}\:\mathrm{two}\:\mathrm{distinct}\:\mathrm{elements} \\ $$$$\mathrm{of}\:{B}.\:\mathrm{Determine}\:{C} \\ $$$$ \\ $$$${P}\left({A}\right)\:=\:\mathrm{power}\:\mathrm{set}\:\mathrm{of}\:{A} \\ $$ Commented by Joel578…
Question Number 173065 by mnjuly1970 last updated on 06/Jul/22 Commented by a.lgnaoui last updated on 06/Jul/22 $$\mathrm{103} \\ $$ Commented by mr W last updated…
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Question Number 104544 by john santu last updated on 22/Jul/20 $$\mathcal{G}{iven}\:{a}_{{n}+\mathrm{1}} \:=\:\mathrm{5}{a}_{{n}} −\mathrm{6}{a}_{{n}−\mathrm{1}} \\ $$$$.\mathcal{I}{f}\:{a}_{\mathrm{1}} =\:\mathrm{10}\:{and}\:{a}_{\mathrm{2}} =\:\mathrm{26},\:{find}\:{a}_{{n}} ? \\ $$ Answered by bobhans last updated…
Question Number 168480 by amin96 last updated on 11/Apr/22 $$\boldsymbol{\mathrm{n}}^{\mathrm{2}} +\boldsymbol{\mathrm{n}}+\mathrm{109}=\boldsymbol{\mathrm{x}}^{\mathrm{2}} \\ $$$$\boldsymbol{\mathrm{x}}−\boldsymbol{\mathrm{integer}} \\ $$$$\boldsymbol{\mathrm{positive}}\:\boldsymbol{\mathrm{integer}}\:\boldsymbol{\mathrm{solutions}}\:\boldsymbol{\mathrm{n}}=? \\ $$ Commented by Rasheed.Sindhi last updated on 11/Apr/22 $$\mathrm{n}=\mathrm{3},\mathrm{20},\mathrm{35},……
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