Question Number 112461 by dw last updated on 08/Sep/20 $${If}\:\:\:{x},\:{y}\:{and}\:{z}\:\:{are}\:{numbers}\:\:{integers}\:{different}\:{of}\:\:\:\mathrm{0} \\ $$$$\begin{cases}{\mathrm{49}{x}+\mathrm{7}{y}+{z}=\mathrm{0}}\\{\mathrm{25}{x}−\mathrm{5}{y}+{z}=\mathrm{0}}\end{cases}\:\:\:\:\:\:\:\:\:{find}\:\sqrt{{y}^{\mathrm{2}} −\mathrm{4}{xz}} \\ $$ Answered by floor(10²Eta[1]) last updated on 08/Sep/20 $$\mathrm{z}=\mathrm{5y}−\mathrm{25x} \\ $$$$\mathrm{49x}+\mathrm{7y}+\mathrm{5y}−\mathrm{25x}=\mathrm{24x}+\mathrm{12y}=\mathrm{0}\Rightarrow\mathrm{y}=−\mathrm{2x}…
Question Number 177976 by ghakhan last updated on 11/Oct/22 Commented by ghakhan last updated on 12/Oct/22 $${I}\:{hope}\:{someone}\:{could}\:{solve}\:{it}. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 46882 by maxmathsup by imad last updated on 02/Nov/18 $${factorize}\:{inside}\:{C}\left[{x}\right]\:\:{x}^{\mathrm{2}} \:+{y}^{\mathrm{2}} \:+{z}^{\mathrm{2}} \\ $$ Commented by maxmathsup by imad last updated on 02/Nov/18…
Question Number 46880 by maxmathsup by imad last updated on 02/Nov/18 $${factorize}\:{inside}\:{C}\left[{x}\right]\:{x}^{{n}} −{y}^{{n}} \:\:{with}\:{n}\:{natural}\:{integr} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 46881 by maxmathsup by imad last updated on 02/Nov/18 $${factorize}\:{inside}\:{C}\left[{x}\right]\:{the}\:{polynom}\:\:{x}^{{n}} \:+{y}^{{n}} \\ $$ Commented by maxmathsup by imad last updated on 02/Nov/18 $${let}\:{cnsider}\:{the}\:{polynome}\:{p}\left({x}\right)={x}^{{n}}…
Question Number 112408 by byaw last updated on 07/Sep/20 Commented by byaw last updated on 07/Sep/20 $$\mathrm{Please}\:\mathrm{help}\:\mathrm{to}\:\mathrm{use}\:\mathrm{latex}\:\mathrm{to}\:\mathrm{draw}\: \\ $$$$\mathrm{this}\:\mathrm{number}\:\mathrm{line}.\:\mathrm{Thank}\:\mathrm{you}. \\ $$ Terms of Service Privacy…
Question Number 177933 by Spillover last updated on 11/Oct/22 $$\mathrm{If}\:\mathrm{1}+\mathrm{sin}\:\mathrm{x}+\mathrm{sin}\:^{\mathrm{2}} \mathrm{x}+\mathrm{sin}\:^{\mathrm{3}} \mathrm{x}+…\infty \\ $$$$=\mathrm{4}+\mathrm{2}\sqrt{\mathrm{3}}\:\:,\mathrm{0}<\mathrm{x}<\pi\:\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x} \\ $$$$ \\ $$ Answered by Ar Brandon last updated on…
Question Number 177932 by Spillover last updated on 11/Oct/22 $$\mathrm{If}\:\mathrm{a},\mathrm{b},\mathrm{c}\:\mathrm{are}\:\mathrm{in}\:\mathrm{A}.\mathrm{P}\:\mathrm{show}\:\mathrm{that} \\ $$$$\frac{\mathrm{1}}{\:\sqrt{\mathrm{b}}+\sqrt{\mathrm{c}}},\frac{\mathrm{1}}{\:\sqrt{\mathrm{c}}\:+\sqrt{\mathrm{a}}},\frac{\mathrm{1}}{\:\sqrt{\mathrm{b}}+\sqrt{\mathrm{a}}},\mathrm{are}\:\mathrm{in}\:\mathrm{A}.\mathrm{P} \\ $$ Answered by Ar Brandon last updated on 11/Oct/22 $${a},\:{b},\:{c}\:\mathrm{in}\:{AP}\:\Rightarrow{b}−{a}={c}−{b}={d}\:\left(\mathrm{common}\:\mathrm{diff}\right) \\ $$$$\mathrm{If}\:{u}_{\mathrm{1}}…
Question Number 177928 by Spillover last updated on 11/Oct/22 $$\mathrm{Prove}\:\mathrm{that} \\ $$$$\left[\frac{\mathrm{x}^{\mathrm{3}} +\mathrm{y}^{\mathrm{3}} }{\left(\mathrm{x}−\mathrm{y}\right)^{\mathrm{2}} +\mathrm{3y}}\right]\boldsymbol{\div}\left[\frac{\left(\mathrm{x}+\mathrm{y}\right)^{\mathrm{2}} −\mathrm{3xy}}{\mathrm{x}^{\mathrm{3}} −\mathrm{y}^{\mathrm{3}} }\right]×\left[\frac{\mathrm{xy}}{\mathrm{x}^{\mathrm{2}} −\mathrm{y}^{\mathrm{2}} }\right]=\mathrm{xy} \\ $$ Answered by Ar…
Question Number 177929 by Spillover last updated on 11/Oct/22 $$\mathrm{Find}\:\mathrm{LCM}\: \\ $$$$\mathrm{3y}+\mathrm{12},\mathrm{y}^{\mathrm{2}} −\mathrm{16}\:\mathrm{and}\:\mathrm{y}^{\mathrm{4}} −\mathrm{64y} \\ $$ Answered by Ar Brandon last updated on 11/Oct/22 $$\mathrm{3y}+\mathrm{12},\:\mathrm{y}^{\mathrm{2}}…