Question Number 181447 by Socracious last updated on 25/Nov/22 $$\:\:\:\:\:\:\:\boldsymbol{\mathrm{f}}\left(\boldsymbol{\mathrm{x}}+\frac{\mathrm{1}}{\boldsymbol{\mathrm{x}}}\right)=\boldsymbol{\mathrm{x}}^{\mathrm{5}} +\frac{\mathrm{1}}{\boldsymbol{\mathrm{x}}^{\mathrm{5}} } \\ $$$$\:\:\:\:\:\boldsymbol{\mathrm{f}}\left(\mathrm{3}\right)=? \\ $$ Answered by Frix last updated on 25/Nov/22 $${y}={x}+\frac{\mathrm{1}}{{x}}\:\Rightarrow \\…
Question Number 115909 by Eric002 last updated on 29/Sep/20 $${solve}\:{the}\:{system}\:{of}\:{equations} \\ $$$${x}+\frac{\mathrm{3}{x}−{y}}{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }=\mathrm{3}\:,\:{y}−\frac{{x}+\mathrm{3}{y}}{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }=\mathrm{0} \\ $$ Answered by MJS_new last updated on 29/Sep/20…
Question Number 50373 by prof Abdo imad last updated on 16/Dec/18 $${decompose}\:{in}\:{prime}\:{factors}\:{the}\:{polynom} \\ $$$${p}={x}^{\mathrm{2}{n}} −\mathrm{2}{cos}\alpha\:{x}^{{n}} \:+\mathrm{1} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 115906 by Eric002 last updated on 29/Sep/20 $${find}\:{all}\:{pairs}\:{of}\:{integers}\:\left({x},{y}\right)\:{such}\:{that} \\ $$$${x}^{\mathrm{3}} +{y}^{\mathrm{3}} =\left({x}+{y}\right)^{\mathrm{2}} \\ $$ Answered by mindispower last updated on 29/Sep/20 $${x}^{\mathrm{3}} +{y}^{\mathrm{3}}…
Question Number 50372 by prof Abdo imad last updated on 16/Dec/18 $${prove}\:{that}\:\mathrm{2}^{{n}+\mathrm{1}} \:{divide}\left[\left(\mathrm{1}+\sqrt{\mathrm{3}}\right)^{\mathrm{2}{n}+\mathrm{1}} \right]\:{for}\:{all}\:{n} \\ $$$${integr}\:{natural}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 181440 by universe last updated on 25/Nov/22 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 50371 by prof Abdo imad last updated on 16/Dec/18 $${let}\:{F}_{{n}} =\mathrm{2}^{\mathrm{2}^{{n}} } \:+\mathrm{1}\:\:\:\:\left({fermat}\:{numbers}\right) \\ $$$${prove}\:{that}\:\Delta\left({F}_{{m}} ,{F}_{{n}} \right)=\mathrm{1}\:{for}\:{m}\neq{n} \\ $$ Terms of Service Privacy…
Question Number 50369 by prof Abdo imad last updated on 16/Dec/18 $${find}\:{x}\:,{y}\:{from}\:{Z}\:\:{wich}\:{verify} \\ $$$${y}^{\mathrm{2}} ={x}\left({x}+\mathrm{1}\right)\left({x}+\mathrm{7}\right)\left({x}+\mathrm{8}\right) \\ $$ Answered by mr W last updated on 16/Dec/18…
Question Number 50370 by prof Abdo imad last updated on 16/Dec/18 $${prove}\:{that}\:\forall\:\left({x},{y}\right)\in{Z}^{\mathrm{2}} \\ $$$${x}^{\mathrm{19}} {y}−{xy}^{\mathrm{19}} \:{is}\:{divided}\:{by}\:\mathrm{798}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 50368 by prof Abdo imad last updated on 16/Dec/18 $${find}\:{all}\:\left({x},{y}\right)\in{Q}^{+\bigstar^{\mathrm{2}} } \:\:{and}\:\:{x}^{{y}} ={y}^{{x}} \:\:{and}\:{x}<{y} \\ $$ Commented by mr W last updated on…