Question Number 192875 by York12 last updated on 30/May/23 $${x}^{\mathrm{2}} −{yz}={a}^{{n}} \\ $$$${y}^{\mathrm{2}} −{zx}={b}^{{n}} \\ $$$${z}^{\mathrm{2}} −{xy}={c}^{{n}} \\ $$$${find}\:\left({x}\:,\:{y}\:,\:{z}\right)\:{in}\:{terms}\:{of}\:\left({a}\:,\:{b}\:,\:{c}\right) \\ $$ Answered by Frix last…
Question Number 192862 by Red1ight last updated on 30/May/23 $$\mathrm{Solve}\:\mathrm{for}\:{x} \\ $$$${x}^{\mathrm{3}} −\mathrm{115}{x}+\mathrm{150}=\mathrm{0} \\ $$ Answered by Frix last updated on 30/May/23 $$\left({x}−\mathrm{10}\right)\left({x}^{\mathrm{2}} +\mathrm{10}{x}−\mathrm{15}\right)=\mathrm{0} \\…
Question Number 192856 by universe last updated on 29/May/23 $$\:{if}\:{a}+{b}+{c}\:+{d}\:\:=\:\mathrm{63}\:{and}\:{a},{b},{c},{d}\:\in\:\mathbb{N}\:{find}\: \\ $$$$\:\:\:{the}\:{maximum}\:{value}\:{of}\:{ab}+{bc}+{cd}\:=\:? \\ $$ Answered by Frix last updated on 29/May/23 $$\mathrm{32}+\mathrm{31}+\mathrm{0}+\mathrm{0}=\mathrm{63} \\ $$$$\mathrm{32}×\mathrm{31}=\mathrm{992} \\…
Question Number 192852 by York12 last updated on 29/May/23 $$ \\ $$$${find}\:{the}\:{domain}\:{of}\:{thefunction} \\ $$$${f}\left({x}\right)\:=\:\frac{\mathrm{1}}{\:\sqrt{{x}^{\mathrm{2}} −\left\{{x}\right\}^{\mathrm{2}} }}\:\:\:\:\:{where}\:\left\{.\right\}\:{is}\:{the}\:{fractional}\:{part}\:{function}. \\ $$ Commented by York12 last updated on 30/May/23…
Question Number 192855 by pascal889 last updated on 29/May/23 Answered by a.lgnaoui last updated on 29/May/23 $$\begin{cases}{\mathrm{P}^{\mathrm{2}} −\mathrm{2aP}−\mathrm{10P}+\mathrm{2a}^{\mathrm{2}} +\mathrm{6a}\:\:−\mathrm{6}=\mathrm{0}\:\:\left(\mathrm{1}\right)}\\{\mathrm{P}^{\mathrm{2}} \:\:\:\:\:\:\:\:\:\:\:\:\:−\mathrm{27P}\:\:\:\:\:\:\:\:\:+\mathrm{27a}−\mathrm{27}=\mathrm{0}\:\:\left(\mathrm{2}\right)\:}\end{cases} \\ $$$$\left(\mathrm{1}\right)−\left(\mathrm{2}\right)\Rightarrow\:\mathrm{2a}^{\mathrm{2}} −\mathrm{21a}+\mathrm{21}+\mathrm{P}\left(\mathrm{17}−\mathrm{2a}\right)=\mathrm{0} \\ $$$$…
Question Number 192851 by MATHEMATICSAM last updated on 29/May/23 $$\mathrm{Solve}: \\ $$$$\frac{\mathrm{log}_{{a}^{\mathrm{2}} \sqrt{{x}}} \:{a}}{\mathrm{log}_{\mathrm{2}{x}} \:{a}}\:+\:\mathrm{log}_{{ax}} \:{a}\:.\:\mathrm{log}_{\frac{\mathrm{1}}{{a}}} \:\mathrm{2}{x}\:=\:\mathrm{0} \\ $$ Commented by Frix last updated on…
Question Number 127306 by Study last updated on 28/Dec/20 Commented by Study last updated on 28/Dec/20 $${help}\:{me} \\ $$ Commented by mr W last updated…
Question Number 192839 by Mingma last updated on 29/May/23 Answered by witcher3 last updated on 02/Jun/23 $$\mathrm{we}\:\mathrm{see}\:\mathrm{that}\:\mathrm{2},\mathrm{7}\:\mathrm{can}'\mathrm{t}\:\mathrm{bee}\:\mathrm{factor}\:\mathrm{of}\:\mathrm{n} \\ $$$$\mathrm{and}\:\mathrm{11}\mid\mathrm{n}\: \\ $$$$\mathrm{if}\:\mathrm{n}≢\mathrm{0}\left[\mathrm{11}\right] \\ $$$$\frac{\mathrm{n}^{\mathrm{2}} +\mathrm{4}^{\mathrm{n}} +\mathrm{7}^{\mathrm{n}}…
Question Number 127301 by Study last updated on 28/Dec/20 Commented by Study last updated on 28/Dec/20 $${what}\:{price}\:{will}\:{scales}\:{read}???? \\ $$ Commented by mr W last updated…
Question Number 192811 by Abdullahrussell last updated on 28/May/23 Answered by AST last updated on 28/May/23 $$\Sigma\frac{\mathrm{1}}{{x}+{yz}}=\Sigma\frac{{x}}{{x}^{\mathrm{2}} +{xyz}}=\frac{{x}}{{x}^{\mathrm{2}} +\mathrm{5}}+\frac{{y}}{{y}^{\mathrm{2}} +\mathrm{5}}+\frac{{z}}{{z}^{\mathrm{2}} +\mathrm{5}} \\ $$$$=\frac{\Sigma\left({xy}^{\mathrm{2}} +\mathrm{5}{x}\right)\left({z}^{\mathrm{2}} +\mathrm{5}\right)=\Sigma\left({xy}^{\mathrm{2}}…