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Question Number 102078 by Jamshidbek2311 last updated on 06/Jul/20 Answered by mr W last updated on 06/Jul/20 $$\boldsymbol{{METHOD}}\:\boldsymbol{{I}} \\ $$$${x}^{\mathrm{2}} +{y}^{\mathrm{2}} \:{is}\:{the}\:{square}\:{of}\:{the}\:{distance} \\ $$$${from}\:{point}\:\left({x},{y}\right)\:{to}\:{the}\:{origin}\:\left(\mathrm{0},\mathrm{0}\right). \\…
Question Number 167612 by infinityaction last updated on 20/Mar/22 Commented by Rasheed.Sindhi last updated on 21/Mar/22 $$\mathcal{D}{etermine}\:{all}\:{the}\:{possible}\:{triples} \\ $$$$\left({a},{b},{c}\right)\:{of}\:{positive}\:{integers}\:{for}\:{which} \\ $$$${ab}−{c},{bc}−{a}\:{and}\:{ca}−{b}\:{are}\:{powers}\:{of} \\ $$$$\mathrm{2}. \\ $$…
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Question Number 167566 by infinityaction last updated on 19/Mar/22 Answered by MJS_new last updated on 19/Mar/22 $${x}={u}−{v}\wedge{y}={u}+{v} \\ $$$${z}=\mathrm{1}−\mathrm{2}{u} \\ $$$${z}^{\mathrm{2}} =\mathrm{1}−\mathrm{2}\left({u}^{\mathrm{2}} +{v}^{\mathrm{2}} \right) \\…
Question Number 167550 by mathlove last updated on 19/Mar/22 Answered by MJS_new last updated on 19/Mar/22 $$\mathrm{pythagorean}\:\mathrm{triple}\:\mathrm{5}^{\mathrm{2}} +\mathrm{12}^{\mathrm{2}} =\mathrm{13}^{\mathrm{2}} \\ $$$$\Rightarrow\:{x}=\mathrm{4} \\ $$ Answered by…
Question Number 102002 by Jamshidbek2311 last updated on 06/Jul/20 Commented by mr W last updated on 06/Jul/20 $${please}\:{don}'{t}\:{post}\:{the}\:{same}\:{question} \\ $$$${again}\:{and}\:{again}.\:{if}\:{you}\:{have}\:{doubt}, \\ $$$${give}\:{comment}\:{in}\:{the}\:{old}\:{thread},\:{don}'{t} \\ $$$${open}\:{a}\:{new}\:{thread}. \\…
Question Number 167539 by Tawa11 last updated on 19/Mar/22 $$\mathrm{Suppose}\:\:\mathrm{x}\:\mathrm{and}\:\mathrm{y}\:\mathrm{are}\:\mathrm{real},\:\mathrm{such}\:\mathrm{that},\:\:\:\mathrm{log}_{\mathrm{4}} \mathrm{x}\:\:\:=\:\:\:\mathrm{log}_{\mathrm{6}} \mathrm{y}\:\:\:=\:\:\:\mathrm{log}_{\mathrm{9}} \left(\mathrm{x}\:+\:\mathrm{y}\right), \\ $$$$\mathrm{find}\:\:\:\frac{\mathrm{y}}{\mathrm{x}} \\ $$ Answered by Rasheed.Sindhi last updated on 19/Mar/22 $$\:\mathrm{log}_{\mathrm{4}}…
Question Number 36437 by prof Abdo imad last updated on 02/Jun/18 $${simplify}\:\:\sum_{{k}=\mathrm{0}} ^{{n}} \:\:\:\:\frac{{C}_{{n}} ^{{k}} }{{k}+\mathrm{1}} \\ $$ Commented by prakash jain last updated on…
Question Number 101971 by Study last updated on 05/Jul/20 Commented by Study last updated on 05/Jul/20 $$\:{what}\:{is}\:{the}\:{cardinal}\:{number}\:{of}\:{set}? \\ $$ Commented by mr W last updated…