Question Number 167241 by mathlove last updated on 10/Mar/22 $$\frac{{b}}{\mathrm{11}}\:\:{is}\:{General}\:{fraction}\:\:{and}\:\mathrm{0}.\overline {\mathrm{3}{a}} \\ $$$${faind}\:\:\left({a}−\mathrm{9}{b}\right)=? \\ $$ Answered by mr W last updated on 10/Mar/22 $$\frac{{b}}{\mathrm{11}}=\mathrm{0}.\overline {\mathrm{3}{a}}…
Question Number 101693 by bemath last updated on 04/Jul/20 $$\mathrm{There}\:\mathrm{are}\:\mathrm{4}\:\mathrm{identical}\:\mathrm{mathematics} \\ $$$$\mathrm{books},\:\mathrm{2}\:\mathrm{identic}\:\mathrm{physics}\:\mathrm{books} \\ $$$$\mathrm{and}\:\mathrm{2}\:\mathrm{identical}\:\mathrm{chemistry}\:\mathrm{books} \\ $$$$.\:\mathrm{How}\:\mathrm{many}\:\mathrm{ways}\:\mathrm{to}\:\mathrm{compile}\: \\ $$$$\mathrm{the}\:\mathrm{eight}\:\mathrm{books}\:\mathrm{on}\:\mathrm{the}\:\mathrm{condition} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{same}\:\mathrm{book}\:\mathrm{are}\:\mathrm{not}\:\mathrm{mutually} \\ $$$$\mathrm{adjacent}? \\ $$ Commented…
Question Number 167231 by mathlove last updated on 10/Mar/22 Commented by cortano1 last updated on 10/Mar/22 $$\:\:\mathrm{2}^{\mathrm{x}} .\mathrm{5}^{\frac{\mathrm{1}}{\mathrm{x}}} =\:\mathrm{10} \\ $$$$\:\mathrm{log}\:_{\mathrm{10}} \left(\mathrm{2}^{\mathrm{x}} .\mathrm{5}^{\frac{\mathrm{1}}{\mathrm{x}}} \right)=\mathrm{1} \\…
Question Number 36154 by SammyKT last updated on 29/May/18 $${Q}.\:\:{If}\:{x}\neq{y}\neq{z}\:\:{and}\:\:\begin{vmatrix}{{x}}&{{x}^{\mathrm{3}} }&{{x}^{\mathrm{4}} −\mathrm{1}}\\{{y}}&{{y}^{\mathrm{3}} }&{{y}^{\mathrm{4}} −\mathrm{1}}\\{{z}\:}&{{z}^{\mathrm{3}} }&{{z}^{\mathrm{4}} −\mathrm{1}}\end{vmatrix}=\mathrm{0} \\ $$$$ \\ $$$${Prove}\:{that}\:\:{xyz}\left({xy}+{yz}+{zx}\right)=\left({x}+{y}+{z}\right) \\ $$$$ \\ $$$${please}\:{help}. \\…
Question Number 36153 by 7991 last updated on 29/May/18 $$\frac{\left({x}+{yi}−\mathrm{2}\right)^{\mathrm{2}} }{{x}−{yi}+\mathrm{1}} \\ $$ Commented by Rasheed.Sindhi last updated on 30/May/18 $$\frac{\left\{\left(\mathrm{x}−\mathrm{2}\right)+\mathrm{yi}\right\}^{\mathrm{2}} }{\left(\mathrm{x}+\mathrm{1}\right)−\mathrm{yi}}×\frac{\left(\mathrm{x}+\mathrm{1}\right)+\mathrm{yi}}{\left(\mathrm{x}+\mathrm{1}\right)+\mathrm{yi}} \\ $$$$\frac{\left\{\left(\mathrm{x}−\mathrm{2}\right)+\mathrm{yi}\right\}^{\mathrm{2}} \left\{\left(\mathrm{x}+\mathrm{1}\right)+\mathrm{yi}\right\}}{\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}}…
Question Number 36132 by Rasheed.Sindhi last updated on 29/May/18 $${a}+{b}=\mathrm{10}………\left(\mathrm{i}\right) \\ $$$${ab}+{c}=\mathrm{0}……….\left(\mathrm{ii}\right) \\ $$$${ac}+{d}=\mathrm{6}……….\left(\mathrm{iii}\right) \\ $$$${ad}=−\mathrm{1}………..\left(\mathrm{iv}\right) \\ $$$$\left({a},{b},{c},{d}\right)=? \\ $$$$\mathcal{N}{ote}:\:{This}\:{problem}\:{is}\:{related}\:{to}\:{solve} \\ $$$${the}\:{equation}\:\left({t}^{\mathrm{4}} +\mathrm{10}{t}+\mathrm{6}{t}−\mathrm{1}=\mathrm{0}\right)\:{of} \\ $$$${Q}#\mathrm{35844}…
Question Number 36126 by Rasheed.Sindhi last updated on 29/May/18 $$\mathrm{x}^{\mathrm{4}} +\mathrm{10x}^{\mathrm{3}} +\mathrm{6x}−\mathrm{1} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\overset{?} {=}\left({x}^{\mathrm{2}} +\frac{\sqrt{\mathrm{5}}−\mathrm{1}}{\mathrm{2}}\right)\left({x}^{\mathrm{2}} +\mathrm{10}{x}−\frac{\sqrt{\mathrm{5}}+\mathrm{1}}{\mathrm{2}}\right) \\ $$ Commented by Rasheed.Sindhi last updated on…
Question Number 167196 by mnjuly1970 last updated on 09/Mar/22 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:#\:{Question}\:# \\ $$$$\:\:\:\:\:{If}\:,\:{a}\:\notin\:\mathbb{Z}\:\:{and}\:\:{the}\:{function}\:{with}\:{the}\:\:{following}\:\:{rule}\:\: \\ $$$$\:\:\:\:\:\:{is}\:\:{differentiable}\:{at}\:\:\:\:''\:\:{x}\:=\:\mathrm{1}\:''\:\:{then}\:\:{find}\:\:{the}\:{value}\:{of} \\ $$$$\:\:\:\:\:\:\:“\:\:\:{a}\:\:“\:\:\:. \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:{f}\left({x}\right)\:=\:\left(\lfloor\:\frac{{x}}{\mathrm{2}}\:\rfloor\:+\:\lfloor\:\frac{−{x}}{\mathrm{2}}\:\rfloor\:\right)\mid\:{x}^{\:\mathrm{2}} +{x}\:−\mathrm{2}\mid\:\lfloor{ax}\:\rfloor\:\:\:\:\:\:\:\:\:\:\:\blacksquare\:{m}.{n} \\ $$$$ \\ $$…
Question Number 167185 by pete last updated on 09/Mar/22 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{the}\:\mathrm{locus}\:\mathrm{of}\:\mathrm{a}\:\mathrm{moving}\:\mathrm{point}\:\mathrm{P}, \\ $$$$\mathrm{such}\:\mathrm{that}\:\mathrm{its}\:\mathrm{distance}\:\mathrm{from}\:\mathrm{the}\:\mathrm{point} \\ $$$$\mathrm{A}\left(\mathrm{4},\mathrm{3}\right)\:\mathrm{and}\:\mathrm{B}\left(\mathrm{5},\mathrm{1}\right)\:\mathrm{is}\:\mathrm{in}\:\mathrm{the}\:\mathrm{ratio}\:\mathrm{3}\::\:\mathrm{1} \\ $$ Commented by mr W last updated on 09/Mar/22 $${the}\:{locus}\:{of}\:{a}\:{moving}\:{point},\:{whose}…
Question Number 167187 by rexford last updated on 09/Mar/22 Terms of Service Privacy Policy Contact: info@tinkutara.com