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Author: Tinku Tara

Question-226015

Question Number 226015 by mr W last updated on 18/Nov/25 Answered by fantastic2 last updated on 18/Nov/25 $${f}\left({x}\right)+{f}\left(\frac{\mathrm{1}}{\mathrm{1}−{x}}\right)={x}…\left({i}\right) \\ $$$${put}\:{x}=\mathrm{2}\:{in}\:{i} \\ $$$${f}\left(\mathrm{2}\right)+{f}\left(−\mathrm{1}\right)=\mathrm{2}….\mathrm{1} \\ $$$${put}\:−\mathrm{1}\:{in}\:{i} \\…

The-coefficient-of-x-2-in-the-expansion-of-1-2-p-x-5-1-px-6-is-70-Find-the-possible-values-of-the-constant-p-

Question Number 226053 by Linton last updated on 18/Nov/25 $${The}\:{coefficient}\:{of}\:{x}^{\mathrm{2}} \:{in}\:{the}\:{expansion} \\ $$$${of}\:\left(\mathrm{1}+\:\left(\mathrm{2}/{p}\right){x}\right)^{\mathrm{5}} \:+\:\left(\mathrm{1}+{px}\right)^{\mathrm{6}} \:{is}\:\mathrm{70}. \\ $$$${Find}\:{the}\:{possible}\:{values}\:{of}\:{the} \\ $$$${constant}\:{p}. \\ $$ Answered by mr W…