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Author: Tinku Tara

The-number-of-solutions-of-the-equation-cos-pi-x-4-cos-pi-x-1-is-

Question Number 17148 by Tinkutara last updated on 01/Jul/17 $$\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{solutions}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation} \\ $$$$\mathrm{cos}\:\left(\pi\sqrt{{x}\:−\:\mathrm{4}}\right)\:\mathrm{cos}\:\left(\pi\sqrt{{x}}\right)\:=\:\mathrm{1}\:\mathrm{is} \\ $$ Answered by ajfour last updated on 01/Jul/17 $$\Rightarrow\:\:\:\mathrm{cos}\:\left(\pi\sqrt{\mathrm{x}−\mathrm{4}}\right)=\pm\mathrm{1} \\ $$$$\mathrm{and}\:\:\:\mathrm{cos}\:\left(\pi\sqrt{\mathrm{x}}\right)=\pm\mathrm{1} \\…

The-expansion-of-1-px-qx-2-8-1-8x-52x-2-kx-3-What-are-the-values-of-p-q-and-k-

Question Number 148219 by iloveisrael last updated on 26/Jul/21 $$\mathrm{The}\:\mathrm{expansion}\:\mathrm{of}\:\left(\mathrm{1}+\mathrm{px}+\mathrm{qx}^{\mathrm{2}} \right)^{\mathrm{8}} \: \\ $$$$=\:\mathrm{1}+\mathrm{8x}+\mathrm{52x}^{\mathrm{2}} +\mathrm{kx}^{\mathrm{3}} +… \\ $$$$\mathrm{What}\:\mathrm{are}\:\mathrm{the}\:\mathrm{values}\:\mathrm{of}\:\mathrm{p}\:,\mathrm{q}\:\mathrm{and}\:\mathrm{k} \\ $$ Answered by liberty last updated…