Question Number 199625 by cortano12 last updated on 06/Nov/23 $$\mathrm{Given}\:\mathrm{Fibonacci}\:\mathrm{series}\: \\ $$$$\:\mathrm{F}_{\mathrm{1}} =\mathrm{F}_{\mathrm{2}} =\:\mathrm{1}\:\mathrm{and}\:\mathrm{F}_{\mathrm{n}+\mathrm{2}} =\:\mathrm{F}_{\mathrm{n}+\mathrm{1}} +\mathrm{F}_{\mathrm{n}} \\ $$$$\:\mathrm{for}\:\mathrm{n}>\mathrm{0}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{remainder}\: \\ $$$$\:\mathrm{F}_{\mathrm{2022}} \:\mathrm{divides}\:\mathrm{by}\:\mathrm{5}\: \\ $$ Answered by…
Question Number 199658 by cherokeesay last updated on 06/Nov/23 Answered by cortano12 last updated on 07/Nov/23 $$\left(\mathrm{a}\right)\:\mathrm{Sum}\:\mathrm{the}\:\mathrm{coefficients}\:\mathrm{of}\:\mathrm{P}\left(\mathrm{x}\right)=\mathrm{3}^{\mathrm{1008}} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 199659 by cherokeesay last updated on 06/Nov/23 Answered by Frix last updated on 07/Nov/23 $$\mathrm{If}\:\mathrm{we}\:\mathrm{stay}\:\mathrm{in}\:\mathbb{R}\:\Rightarrow\:\sqrt[{\mathrm{3}}]{−{r}}=−\sqrt[{\mathrm{3}}]{{r}} \\ $$$$\mathrm{Obvious}\:\mathrm{solutions} \\ $$$${x}=−\mathrm{1}\vee{x}=\mathrm{0} \\ $$$$\mathrm{Not}\:\mathrm{so}\:\mathrm{obvious}\:\mathrm{solutions} \\ $$$${x}=\frac{\mathrm{1}}{\mathrm{2}}\pm\frac{\sqrt{\mathrm{5}}}{\mathrm{2}}…
Question Number 199652 by Skabetix last updated on 06/Nov/23 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 199620 by Mingma last updated on 06/Nov/23 Answered by AST last updated on 06/Nov/23 $${f}\left({x}\right)=\frac{{x}^{\mathrm{2}} }{\mathrm{2}}+{cx};{f}\left(\mathrm{4}\right)=\mathrm{10}\Rightarrow{c}=\frac{\mathrm{1}}{\mathrm{2}}\Rightarrow{f}\left({x}\right)=\frac{{x}\left({x}+\mathrm{1}\right)}{\mathrm{2}} \\ $$ Commented by Mingma last updated…
Question Number 199621 by Mingma last updated on 06/Nov/23 Answered by AST last updated on 06/Nov/23 $${x}+{y}\overset{\mathrm{3}} {\equiv}\mathrm{2}…\left({i}\right) \\ $$$$\left(\mathrm{6}+\mathrm{6}+{y}\right)−\left(\mathrm{7}+{x}\right)=\mathrm{5}+{y}−{x}\overset{\mathrm{11}} {\equiv}\mathrm{0}\Rightarrow{x}−{y}\overset{\mathrm{11}} {\equiv}\mathrm{5}…\left({ii}\right) \\ $$$$\left({i}\right)\wedge\left({ii}\right)\Rightarrow\left({x},{y}\right)=\left(\mathrm{8},\mathrm{3}\right);\left(\mathrm{5},\mathrm{0}\right);\left(\mathrm{1},\mathrm{7}\right) \\…
Question Number 199654 by hardmath last updated on 06/Nov/23 $$\mathrm{x}^{\mathrm{4}} \:+\:\mathrm{4x}^{\mathrm{3}} \:−\:\mathrm{8x}\:+\:\mathrm{1}\:−\:\mathrm{m}\:=\:\mathrm{0} \\ $$$$\mathrm{has}\:\mathrm{4}\:\mathrm{real}\:\mathrm{roots} \\ $$$$\mathrm{find}\:\:\mathrm{m}=? \\ $$ Answered by Frix last updated on 07/Nov/23…
Question Number 199550 by hardmath last updated on 05/Nov/23 $$\mathrm{If} \\ $$$$\mathrm{x}\:=\:\sqrt{\mathrm{7}\:+\:\mathrm{4}\sqrt{\mathrm{3}}} \\ $$$$\mathrm{Find}: \\ $$$$\frac{\mathrm{x}^{\mathrm{4}} \:−\:\mathrm{x}^{\mathrm{3}} \:−\:\mathrm{9x}^{\mathrm{2}} \:−\:\mathrm{2x}\:+\:\mathrm{5}}{\mathrm{x}^{\mathrm{2}} \:−\:\mathrm{4x}\:+\:\mathrm{3}}\:\:=\:\:? \\ $$ Answered by Rasheed.Sindhi…
Question Number 199576 by Red1ight last updated on 05/Nov/23 There is a field. Everyday kids throw some balls on the field. At night the farmer…
Question Number 199544 by a.lgnaoui last updated on 05/Nov/23 $$\:\:\frac{\boldsymbol{\mathrm{Area}}\left(\boldsymbol{{ydllow}}\right)}{\boldsymbol{\mathrm{Area}}\left(\boldsymbol{{Blue}}\right)}=? \\ $$ Commented by a.lgnaoui last updated on 05/Nov/23 Commented by ajfour last updated on…