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Category: Algebra

Question-149331

Question Number 149331 by Samimsultani last updated on 04/Aug/21 Commented by john_santu last updated on 04/Aug/21 $$\mathrm{may}\:\mathrm{be}\:\mathrm{x}=\sqrt[{\mathrm{3}}]{\mathrm{7}+\sqrt{\mathrm{5}}}\:−\sqrt[{\mathrm{3}}]{\mathrm{7}−\sqrt{\mathrm{5}}}\: \\ $$ Commented by amin96 last updated on…

Let-x-y-are-two-different-real-numbers-satisfy-the-equation-y-4-x-4-and-x-4-y-4-The-value-of-x-3-y-3-mod-x-3-y-3-is-

Question Number 83791 by jagoll last updated on 06/Mar/20 $$\mathrm{Let}\:\mathrm{x},\:\mathrm{y}\:\mathrm{are}\:\mathrm{two}\:\mathrm{different}\:\mathrm{real} \\ $$$$\mathrm{numbers}\:\mathrm{satisfy}\:\mathrm{the}\:\mathrm{equation}\: \\ $$$$\sqrt{\mathrm{y}+\mathrm{4}}\:=\:\mathrm{x}−\mathrm{4}\:\mathrm{and}\:\sqrt{\mathrm{x}+\mathrm{4}}\:=\:\mathrm{y}−\mathrm{4}. \\ $$$$\mathrm{The}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x}^{\mathrm{3}} +\mathrm{y}^{\mathrm{3}} \:\mathrm{mod}\left(\mathrm{x}^{\mathrm{3}} \mathrm{y}^{\mathrm{3}} \right)\:\mathrm{is} \\ $$ Commented by mr…

n-1-99-10-n-n-1-99-10-n-

Question Number 149322 by mathdanisur last updated on 04/Aug/21 $$\frac{\underset{\boldsymbol{{n}}=\mathrm{1}} {\overset{\mathrm{99}} {\sum}}\left(\sqrt{\mathrm{10}\:+\:\sqrt{\boldsymbol{{n}}}}\right)}{\underset{\boldsymbol{{n}}=\mathrm{1}} {\overset{\mathrm{99}} {\sum}}\left(\sqrt{\mathrm{10}\:-\:\sqrt{\boldsymbol{{n}}}}\right)}\:=\:? \\ $$ Commented by amin96 last updated on 04/Aug/21 $$? \\…

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}} \\…