Question Number 112509 by I want to learn more last updated on 08/Sep/20 Commented by mr W last updated on 13/Sep/20 $${solution}\:{see}\:{Q}\mathrm{113486} \\ $$ Terms…
Question Number 46973 by rahul 19 last updated on 03/Nov/18 Answered by MJS last updated on 03/Nov/18 $${x}^{\mathrm{3}} −\mathrm{27}{x}+{k}=\mathrm{0} \\ $$$${D}=\frac{{k}^{\mathrm{2}} }{\mathrm{4}}−\mathrm{729}<\mathrm{0}\:\Rightarrow\:−\mathrm{54}\leqslant{k}\leqslant\mathrm{54} \\ $$$$\mathrm{but}\:\mathrm{we}\:\mathrm{need}\:\mathrm{integer}\:\mathrm{solutions} \\…
Question Number 46959 by rahul 19 last updated on 03/Nov/18 $${The}\:{reminder}\:{when}\:{polynomial} \\ $$$$\mathrm{1}+{x}^{\mathrm{2}} +{x}^{\mathrm{4}} +{x}^{\mathrm{6}} +….+{x}^{\mathrm{22}} \:{is}\:{divided}\:{by} \\ $$$$\mathrm{1}+{x}^{} +{x}^{\mathrm{2}} +{x}^{\mathrm{3}} +…..+{x}^{\mathrm{11}} \:{is}\:=? \\ $$…
Question Number 178021 by Acem last updated on 12/Oct/22 $$ \\ $$$${Let}\:{S}=\left\{\mathrm{1},\:\mathrm{2},\:\mathrm{3},\:\mathrm{4},\:\mathrm{5}\right\}\:,\:{we}\:{want}\:{to}\:{make}\:{a}\: \\ $$$$\:{group}\:{H}\:{of}\:{numbers}\:{have}\:{the}\:{following}\: \\ $$$$\:{properties}: \\ $$$$\:\mathrm{1}.\:{Each}\:{number}\:{has}\:{different}\:{digits}\:{and} \\ $$$$\:{taken}\:{from}\:{S} \\ $$$$\:\mathrm{2}.\:{Each}\:{number}\:{is}\:{greater}\:{than}\:\mathrm{20}\:\mathrm{000} \\ $$$$\:\mathrm{3}.\:{None}\:{of}\:{them}\:{is}\:{multiple}\:{of}\:{five} \\…
Question Number 112478 by dw last updated on 08/Sep/20 $${If}\:{P}\left({x}\right)=\:{x}^{\mathrm{3}} +{ax}^{\mathrm{2}} +{bx}+{c},\:{with}\:{a},\:{b}\:{and}\:{c}\:{real}\:{numbers}. \\ $$$${Roots}\:{of}\:{P}\left({x}\right)\:{z}+\mathrm{3}{i},\:{z}+\mathrm{9}{i}\:{and}\:\mathrm{2}{z}−\mathrm{4},\:{find}\:\mid{a}+{b}+{c}\mid. \\ $$$$\boldsymbol{{N}}{ote}:\:{z}\:{is}\:{complex}\:{number}. \\ $$ Answered by floor(10²Eta[1]) last updated on 08/Sep/20…
Question Number 178008 by Spillover last updated on 12/Oct/22 Answered by Beginner last updated on 12/Oct/22 Commented by Spillover last updated on 12/Oct/22 $$\mathrm{thanks}\:\mathrm{for}\:\mathrm{doing}\:\mathrm{it}. \\…
Question Number 178007 by Spillover last updated on 12/Oct/22 Answered by aurpeyz last updated on 12/Oct/22 $${solved} \\ $$ Commented by Spillover last updated on…
Question Number 112464 by Aina Samuel Temidayo last updated on 08/Sep/20 Answered by john santu last updated on 08/Sep/20 $${f}\left({x}\right)=\mathrm{0} \\ $$$$\begin{cases}{\mathrm{2}^{{x}} \:=\:\mathrm{1}\:\rightarrow{x}=\mathrm{0}}\\{{x}^{\mathrm{2}} +\mathrm{2}{x}−\mathrm{3}=\mathrm{0}\rightarrow\left({x}+\mathrm{3}\right)\left({x}−\mathrm{1}\right)=\mathrm{0}}\end{cases} \\…
Question Number 112461 by dw last updated on 08/Sep/20 $${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:…