Question Number 155465 by cortano last updated on 01/Oct/21 $$\frac{\mathrm{1}^{\mathrm{2}} }{\mathrm{1}×\mathrm{3}}+\frac{\mathrm{2}^{\mathrm{2}} }{\mathrm{3}×\mathrm{5}}+\frac{\mathrm{3}^{\mathrm{2}} }{\mathrm{5}×\mathrm{7}}+…+\frac{\mathrm{n}^{\mathrm{2}} }{\left(\mathrm{2n}−\mathrm{1}\right)\left(\mathrm{2n}+\mathrm{1}\right)}= \\ $$ Answered by Ar Brandon last updated on 03/Oct/21 $${S}=\underset{{k}=\mathrm{1}}…
Question Number 89913 by M±th+et£s last updated on 20/Apr/20 Commented by M±th+et£s last updated on 20/Apr/20 $${prove}\:{that} \\ $$ Answered by maths mind last updated…
Question Number 155428 by ajfour last updated on 30/Sep/21 $${simplify} \\ $$$${t}=\left(\frac{\mathrm{26}}{\mathrm{3}\sqrt{\mathrm{3}}}+\mathrm{5}\right)^{\mathrm{1}/\mathrm{3}} −\left(\frac{\mathrm{26}}{\mathrm{3}\sqrt{\mathrm{3}}}−\mathrm{5}\right)^{\mathrm{1}/\mathrm{3}} \\ $$ Answered by peter frank last updated on 30/Sep/21 $$\mathrm{t}=\left(\frac{\mathrm{26}+\mathrm{15}\sqrt{\mathrm{3}}}{\mathrm{3}\sqrt{\mathrm{3}}}\right)^{\frac{\mathrm{1}}{\mathrm{3}}} −\left(\frac{\mathrm{26}−\mathrm{15}\sqrt{\mathrm{3}}}{\mathrm{3}\sqrt{\mathrm{3}}}\right)^{\frac{\mathrm{1}}{\mathrm{3}}}…
Question Number 89852 by M±th+et£s last updated on 19/Apr/20 Answered by mr W last updated on 19/Apr/20 $${F}_{{n}} =\frac{\mathrm{1}}{\:\sqrt{\mathrm{5}}}\left(\varphi^{{n}} −\psi^{{n}} \right)\:{with} \\ $$$$\varphi=\frac{\mathrm{1}+\sqrt{\mathrm{5}}}{\mathrm{2}},\:\psi=\frac{\mathrm{1}−\sqrt{\mathrm{5}}}{\mathrm{2}}=\mathrm{1}−\varphi=−\frac{\mathrm{1}}{\varphi} \\ $$$${x}^{{n}}…
Question Number 89816 by peter frank last updated on 19/Apr/20 Commented by mr W last updated on 19/Apr/20 $${what}\:{do}\:{you}\:{mean}\:{with}\:{t}_{\mathrm{1}} ,\:{t}_{\mathrm{2}} ,\:{t}_{\mathrm{3}} ? \\ $$$${you}\:{said}\:{they}\:{are}\:{three}\:{points},\:{but} \\…
Question Number 89817 by peter frank last updated on 19/Apr/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 89804 by peter frank last updated on 19/Apr/20 Answered by jagoll last updated on 19/Apr/20 Commented by jagoll last updated on 19/Apr/20 $$\mathrm{vol}\:=\:\pi\:\underset{\mathrm{1}}…
Question Number 89558 by peter frank last updated on 17/Apr/20 $${Show}\:{that}\:{difference} \\ $$$${of}\:{the}\:{focus}\:{distance} \\ $$$${of}\:{any}\:{point}\:{on}\:{hyperbola} \\ $$$${is}\:{equal}\:{to}\:{the}\:{length}\:{of} \\ $$$${the}\:{tranversed}\:{axis} \\ $$ Terms of Service Privacy…
Question Number 89461 by student work last updated on 17/Apr/20 Answered by mahdi last updated on 17/Apr/20 $$\mathrm{A}=\mathrm{x}+\frac{\mathrm{y}}{\mathrm{x}+\frac{\mathrm{y}}{\mathrm{x}+\frac{\mathrm{y}}{…}}}\Rightarrow\mathrm{A}=\mathrm{x}+\frac{\mathrm{y}}{\mathrm{A}}\Rightarrow \\ $$$$\mathrm{A}^{\mathrm{2}} =\mathrm{Ax}+\mathrm{y}\Rightarrow\mathrm{A}^{\mathrm{2}} −\mathrm{xA}−\mathrm{y}=\mathrm{0} \\ $$$$\mathrm{A}=\frac{\mathrm{x}+\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{4y}}}{\mathrm{2}}\:\mathrm{or}\:\frac{\mathrm{x}−\sqrt{\mathrm{x}^{\mathrm{2}}…
Question Number 154931 by qaz last updated on 23/Sep/21 $$\mathrm{f}\left(\mathrm{x}\right)=\left(\mathrm{2x}^{\mathrm{5}} +\mathrm{2x}^{\mathrm{4}} −\mathrm{53x}^{\mathrm{3}} −\mathrm{57x}+\mathrm{54}\right)^{\mathrm{2011}} \\ $$$$\mathrm{f}\left(\frac{\sqrt{\mathrm{111}}−\mathrm{1}}{\mathrm{2}}\right)=? \\ $$ Answered by MJS_new last updated on 23/Sep/21 $$−\mathrm{1}…