Question Number 157753 by Engr_Jidda last updated on 27/Oct/21 $${A}\:{farmer}\:{has}\:{numbers}\:{of}\:{animals} \\ $$$${in}\:{his}\:{farm}\:{made}\:{up}\:{of}\:{hens}\:{and}\:{goats}. \\ $$$${One}\:{morning}\:{he}\:{counted}\:\mathrm{20}\:{heads}\:{and}\:\mathrm{66}\:{legs} \\ $$$${of}\:{the}\:{animals}.\:{How}\:{many}\:{hens}\:{and} \\ $$$${goat}\:{were}\:{counted}\:{by}\:{the}\:{farmer}. \\ $$ Answered by Kunal12588 last updated…
Question Number 26680 by Sr@2004 last updated on 28/Dec/17 $$\left({b}−{c}\right){x}^{\mathrm{2}} +\left({c}−{a}\right){x}+\left({a}−{b}\right)=\mathrm{0}\:{if}\:{the}\: \\ $$$${eqation}\:{roots}\:\:{are}\:{eqal}\:{you}\:{proved}\:{that} \\ $$$$\mathrm{2}{b}={a}+{c}. \\ $$ Answered by mrW1 last updated on 28/Dec/17 $${equal}\:{roots}\:\Rightarrow\:\Delta=\mathrm{0}…
Question Number 157742 by MathSh last updated on 27/Oct/21 $$\mathrm{Find}: \\ $$$$\boldsymbol{\Omega}\:=\underset{\:\mathrm{0}} {\overset{\:\mathrm{1}} {\int}}\:\frac{\mathrm{tan}^{-\mathrm{1}} \mathrm{x}\:\centerdot\:\mathrm{Li}_{\mathrm{2}} \left(\frac{\mathrm{1}-\mathrm{x}}{\mathrm{1}+\mathrm{x}}\right)}{\left(\mathrm{1}+\mathrm{x}\right)^{\mathrm{2}} }\:\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 92211 by jagoll last updated on 05/May/20 $$\mathrm{4x}\:=\:\mathrm{2}\:\left(\mathrm{mod}\:\mathrm{3}\:\right)\: \\ $$ Commented by jagoll last updated on 05/May/20 $$\mathrm{x}\:=\:\mathrm{3k}−\mathrm{1}\: \\ $$$$\mathrm{x}\:=\:\mathrm{2},\mathrm{5},\mathrm{8},\mathrm{11},\mathrm{14},…\: \\ $$ Answered…
Question Number 92196 by I want to learn more last updated on 05/May/20 $$\mathrm{2}^{\mathrm{x}} \:\:+\:\:\mathrm{3}^{\mathrm{y}} \:\:=\:\:\mathrm{72} \\ $$$$\mathrm{2}^{\mathrm{y}} \:\:+\:\:\mathrm{3}^{\mathrm{x}\:\:} =\:\:\mathrm{108} \\ $$$$\mathrm{Please}\:\mathrm{am}\:\mathrm{not}\:\mathrm{getting}\:\mathrm{correct}\:\mathrm{answer}\:\mathrm{for} \\ $$$$\mathrm{this}\:\mathrm{question}\:\mathrm{using}\:\mathrm{a}\:\mathrm{method}\:\mathrm{proposed}\:. \\…
Question Number 92193 by jagoll last updated on 05/May/20 $$−\mathrm{2345}\:\left(\mathrm{mod}\:\mathrm{6}\right)\: \\ $$$$−\mathrm{5400}\:\left(\:\mathrm{mod}\:\mathrm{11}\right)\: \\ $$ Commented by john santu last updated on 05/May/20 $$−\mathrm{5400}\:\left(\mathrm{mod}\:\mathrm{11}\right)\:=\:\mathrm{11}−\mathrm{10}\:=\:\mathrm{1}\:\left(\mathrm{mod}\:\mathrm{11}\right) \\ $$$$−\mathrm{2345}\:\left(\mathrm{mod}\:\mathrm{6}\right)\:=\:\mathrm{6}−\mathrm{5}\:=\:\mathrm{1}\:\left(\mathrm{mod}\:\mathrm{6}\:\right)…
Question Number 92191 by jagoll last updated on 05/May/20 $$\lceil\:\sqrt[{\mathrm{3}\:\:}]{\mathrm{30}}\:\rceil\: \\ $$$$\lfloor\:\sqrt[{\mathrm{3}\:\:}]{\mathrm{30}}\:\rfloor\: \\ $$$$\lceil\:\sqrt[{\mathrm{6}\:\:}]{\mathrm{1256}\:}\:\rceil\: \\ $$ Commented by john santu last updated on 05/May/20 $$\sqrt[{\mathrm{3}\:\:}]{\mathrm{30}}\:=\:\mathrm{3}.\mathrm{107}\:\Rightarrow\:\lceil\:\sqrt[{\mathrm{3}\:\:}]{\mathrm{30}}\:\rceil\:=\:\mathrm{4}…
Question Number 92187 by jagoll last updated on 05/May/20 $$\mathrm{4x}\:=\:\mathrm{6}\:\left(\mathrm{mod}\:\mathrm{10}\:\right) \\ $$ Commented by john santu last updated on 05/May/20 $$\mathrm{4}×\mathrm{4}\:=\:\mathrm{16}\:=\:\mathrm{6}\:\left({mod}\:\mathrm{10}\right)\: \\ $$$$\mathrm{4}×\mathrm{9}\:=\:\mathrm{36}\:=\:\mathrm{6}\:\left({mod}\:\mathrm{10}\right)\: \\ $$$${then}\:\mathrm{4}\:\&\:\mathrm{9}\:\mathrm{is}\:\mathrm{solution}\:…
Question Number 157712 by ajfour last updated on 26/Oct/21 Commented by ajfour last updated on 26/Oct/21 $${blue}\:{curve}\:{is}\:\:\:{y}={x}^{\mathrm{3}} −{x} \\ $$$${Find}\:{eq}.\:{of}\:{parabola}. \\ $$$${The}\:{lines}\:{are} \\ $$$${x}={p}\:\:\:\:\:{with}\:\:\:{p}^{\mathrm{3}} −{p}={c}…
Question Number 26638 by shiv15031973@gmail.com last updated on 27/Dec/17 $$\mathrm{x}^{\mathrm{3}} −\mathrm{8x}^{\mathrm{2}} +\mathrm{7}\:\:\mathrm{factorise}\:\mathrm{it}. \\ $$ Answered by prakash jain last updated on 27/Dec/17 $${x}^{\mathrm{3}} −\mathrm{8}{x}^{\mathrm{2}} +\mathrm{7}…