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Category: Algebra

if-a-b-gt-0-find-a-2-4-b-2-9-ab-min-

Question Number 149296 by mathdanisur last updated on 04/Aug/21 $${if}\:\:\:{a}\:;\:{b}\:>\:\mathrm{0} \\ $$$${find}\:\:\:\left[\:\frac{\left({a}^{\mathrm{2}} \:+\:\mathrm{4}\right)\left({b}^{\mathrm{2}} \:+\:\mathrm{9}\right)}{{ab}}\:\right]_{\boldsymbol{{min}}} =\:? \\ $$ Answered by dumitrel last updated on 04/Aug/21 $$\mathrm{24}\:\left({pentru}\:{a}=\mathrm{2},{b}=\mathrm{3}\right)…

if-sin2-1-3-find-3tg-2-3-4-

Question Number 149292 by mathdanisur last updated on 04/Aug/21 $${if}\:\:\:{sin}\mathrm{2}\boldsymbol{\alpha}\:=\:-\:\frac{\mathrm{1}}{\mathrm{3}} \\ $$$${find}\:\:\:\mathrm{3}{tg}^{\mathrm{2}} \left(\frac{\mathrm{3}\boldsymbol{\pi}}{\mathrm{4}}\:-\:\boldsymbol{\alpha}\right)\:=\:? \\ $$ Answered by Ar Brandon last updated on 04/Aug/21 $$\mathrm{sin2}\alpha=−\frac{\mathrm{1}}{\mathrm{3}} \\…

Question-149268

Question Number 149268 by Samimsultani last updated on 04/Aug/21 Answered by dkenechukwu04 last updated on 04/Aug/21 $$\mathrm{Let}\:\mathrm{2}+\frac{\mathrm{3}}{\mathrm{2}+\frac{\mathrm{3}}{\mathrm{2}+\frac{\mathrm{3}}{\mathrm{2}+…}}}={x} \\ $$$$\mathrm{5}+\frac{\mathrm{2}}{{x}}=\mathrm{5}+\frac{\mathrm{2}}{\mathrm{2}+\frac{\mathrm{3}}{{x}}} \\ $$$$\mathrm{5}+\frac{\mathrm{2}}{{x}}=\mathrm{5}+\frac{\mathrm{2}{x}}{\mathrm{2}{x}+\mathrm{3}} \\ $$$$\frac{\mathrm{5}{x}+\mathrm{2}}{{x}}=\frac{\mathrm{12}{x}+\mathrm{15}}{\mathrm{2}{x}+\mathrm{3}} \\ $$$$\mathrm{10}{x}^{\mathrm{2}}…