Question Number 147828 by puissant last updated on 23/Jul/21 $$\underset{\mathrm{p}=\mathrm{0}} {\overset{\mathrm{n}} {\sum}}\mathrm{psh}\left(\mathrm{a}+\mathrm{bp}\right) \\ $$ Answered by Olaf_Thorendsen last updated on 23/Jul/21 $$ \\ $$$$\:\underset{{p}=\mathrm{0}} {\overset{{n}}…
Question Number 147820 by puissant last updated on 23/Jul/21 $$\underset{\mathrm{p}=\mathrm{0}} {\overset{\mathrm{n}} {\sum}}\mathrm{sh}^{\mathrm{2}} \left(\mathrm{a}+\mathrm{pb}\right) \\ $$ Answered by Olaf_Thorendsen last updated on 23/Jul/21 $$ \\ $$$$\underset{{p}=\mathrm{0}}…
Question Number 147819 by puissant last updated on 23/Jul/21 $$\underset{\mathrm{p}=\mathrm{0}} {\overset{\mathrm{n}} {\sum}}\mathrm{ch}^{\mathrm{2}} \left(\mathrm{a}+\mathrm{pb}\right) \\ $$ Answered by Olaf_Thorendsen last updated on 23/Jul/21 $$\mathrm{S}\:=\:\underset{{p}=\mathrm{0}} {\overset{{n}} {\sum}}\mathrm{ch}^{\mathrm{2}}…
Question Number 147602 by puissant last updated on 22/Jul/21 Answered by Olaf_Thorendsen last updated on 22/Jul/21 $$\mathrm{Soit}\:\mathrm{E}\:\mathrm{le}\:\mathrm{nombre}\:\mathrm{d}'\mathrm{eleves}. \\ $$$$\mathrm{Soit}\:\mathrm{T}\:\mathrm{le}\:\mathrm{nombre}\:\mathrm{de}\:\mathrm{tables}. \\ $$$$\begin{cases}{\mathrm{E}\:=\:\mathrm{2T}+\mathrm{11}\:\:\:\left(\mathrm{1}\right)}\\{\mathrm{T}\:=\:\frac{\mathrm{E}}{\mathrm{3}}+\mathrm{7}\:\:\:\:\:\:\left(\mathrm{2}\right)}\end{cases} \\ $$$$ \\ $$$$\mathrm{En}\:\mathrm{injectant}\:\left(\mathrm{2}\right)\:\mathrm{dans}\:\left(\mathrm{1}\right)\::…
Question Number 147603 by puissant last updated on 22/Jul/21 Answered by Olaf_Thorendsen last updated on 22/Jul/21 $$\mathrm{Soit}\:\mathrm{G}\:\mathrm{le}\:\mathrm{nombre}\:\mathrm{de}\:\mathrm{garcons}. \\ $$$$\mathrm{Soit}\:\mathrm{F}\:\mathrm{le}\:\mathrm{nombre}\:\mathrm{de}\:\mathrm{filles}. \\ $$$$\mathrm{G}+\mathrm{F}\:=\:\mathrm{10}\:\:\:\left(\mathrm{1}\right) \\ $$$$ \\ $$$$\mathrm{Chaque}\:\mathrm{garcon}\:\mathrm{a}\:\mathrm{G}−\mathrm{1}\:\mathrm{freres}\:\mathrm{F}\:\mathrm{soeurs}…
Question Number 82067 by john santu last updated on 18/Feb/20 $$\begin{cases}{\mid{x}\mid\:−\sqrt[{\mathrm{3}\:}]{{y}+\mathrm{3}\:}\:=\:\mathrm{1}}\\{\left(−{x}\sqrt{−{x}}\right)^{\mathrm{2}} \:=\:{y}\:+\mathrm{10}}\end{cases} \\ $$$${find}\:{solution} \\ $$ Commented by john santu last updated on 18/Feb/20 Commented…
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Question Number 81564 by jagoll last updated on 14/Feb/20 $${given}\: \\ $$$$\frac{{a}+{b}}{{c}}\:+\:\frac{{a}+{c}}{{b}}\:+\frac{{b}+{c}}{{a}}\:=\:\mathrm{9} \\ $$$${a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} \:=\:\mathrm{12}\: \\ $$$${maximum}\:{value}\:{of}\:{a}+{b}+{c}\:{is} \\ $$ Commented by mr W…
Question Number 81421 by ajfour last updated on 12/Feb/20 Commented by ajfour last updated on 12/Feb/20 $${If}\:{both}\:{rectangles}\:{have}\:{unit} \\ $$$${areas},\:{find}\:{the}\:{side}\:{length}\:{of} \\ $$$${the}\:{outer}\:{square}. \\ $$ Answered by…
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