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If-f-x-x-2-ax-b-if-f-1-3-and-and-one-of-the-roots-of-the-eqiation-f-x-0-doubles-the-other-find-the-positive-values-of-a-and-b-

Question Number 210013 by otchereabdullai@gmail.com last updated on 28/Jul/24 $$\:{If}\:{f}\left({x}\right)=\:{x}^{\mathrm{2}} +{ax}+{b}.\:{if}\:{f}\left(\mathrm{1}\right)=\:\mathrm{3}\:{and}\: \\ $$$$\:{and}\:{one}\:{of}\:{the}\:{roots}\:{of}\:{the}\:{eqiation} \\ $$$$\:{f}\left({x}\right)=\:\mathrm{0}\:{doubles}\:{the}\:{other},\:{find}\:{the} \\ $$$$\:{positive}\:{values}\:{of}\:{a}\:{and}\:{b}. \\ $$ Answered by mr W last updated…

Question-209911

Question Number 209911 by 073 last updated on 25/Jul/24 Commented by mr W last updated on 25/Jul/24 $${what}'{s}\:{the}\:{difference}\:{between} \\ $$$$\left(\frac{\mathrm{1}}{\mathrm{1}+{x}}\right)^{\mathrm{2}} \:{and}\:\left(\left(\frac{\mathrm{1}}{\mathrm{1}+{x}}\right)^{\mathrm{2}} \right)? \\ $$ Commented…

Let-n-be-positive-integer-satisfies-a-n-1-1-n-1-n-1-1-n-1-n-1-Find-the-value-of-a-1-a-2-a-3-a-99-

Question Number 209881 by naka3546 last updated on 24/Jul/24 $$\mathrm{Let}\:{n}\:\mathrm{be}\:\mathrm{positive}\:\mathrm{integer}\:\mathrm{satisfies} \\ $$$$ \\ $$$${a}_{{n}} \:=\:\mathrm{1}\:+\:\sqrt{\frac{\mathrm{1}}{{n}}}\:−\:\sqrt{\frac{\mathrm{1}}{{n}+\mathrm{1}}}\:−\:\sqrt{\frac{\mathrm{1}}{{n}}\:−\:\frac{\mathrm{1}}{{n}+\mathrm{1}}} \\ $$$$ \\ $$$$\mathrm{Find}\:\:\mathrm{the}\:\:\mathrm{value}\:\:\mathrm{of}\: \\ $$$$ \\ $$$$\:\:\:{a}_{\mathrm{1}} {a}_{\mathrm{2}} {a}_{\mathrm{3}}…