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Category: Algebra

Question-92717

Question Number 92717 by mr W last updated on 08/May/20 Commented by i jagooll last updated on 09/May/20 $$\left(\mathrm{1}\right)\:\mathrm{x}^{\mathrm{3}} +\mathrm{9x}^{\mathrm{2}} \mathrm{y}\:=\:\mathrm{10} \\ $$$$\left(\mathrm{2}\right)\:\mathrm{27y}^{\mathrm{3}} +\mathrm{27xy}^{\mathrm{2}} \:=\:\mathrm{54}…

Prove-that-x-1-2-x-x-1-x-2-1-2-x-gt-0-

Question Number 158241 by HongKing last updated on 01/Nov/21 $$\mathrm{Prove}\:\mathrm{that}: \\ $$$$\frac{\left(\mathrm{x}-\mathrm{1}\right)^{\mathrm{2}} }{\mathrm{x}}\:+\:\frac{\mathrm{x}+\mathrm{1}}{\:\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{1}}}\:\geqslant\:\mathrm{2}\:\:;\:\:\forall\mathrm{x}>\mathrm{0} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Prove-that-x-1-2-x-x-1-x-2-1-2-x-gt-0-

Question Number 158245 by HongKing last updated on 01/Nov/21 $$\mathrm{Prove}\:\mathrm{that}: \\ $$$$\frac{\left(\mathrm{x}-\mathrm{1}\right)^{\mathrm{2}} }{\mathrm{x}}\:+\:\frac{\mathrm{x}+\mathrm{1}}{\:\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{1}}}\:\geqslant\:\sqrt{\mathrm{2}}\:\:;\:\:\forall\mathrm{x}>\mathrm{0} \\ $$$$ \\ $$ Answered by mindispower last updated on 02/Nov/21…

Prove-that-5-divide-n-4n-2-1-6n-2-1-for-any-natural-number-n-

Question Number 158240 by HongKing last updated on 01/Nov/21 $$\mathrm{Prove}\:\mathrm{that}\:\mathrm{5}\:\mathrm{divide} \\ $$$$\mathrm{n}\left(\mathrm{4n}^{\mathrm{2}} \:+\:\mathrm{1}\right)\left(\mathrm{6n}^{\mathrm{2}} \:+\:\mathrm{1}\right) \\ $$$$\mathrm{for}\:\mathrm{any}\:\mathrm{natural}\:\mathrm{number}\:\boldsymbol{\mathrm{n}} \\ $$ Answered by Rasheed.Sindhi last updated on 01/Nov/21…

Solve-for-real-numbers-x-y-5-3-x-3-1-5-y-5-6-1-5-1-

Question Number 158187 by HongKing last updated on 31/Oct/21 $$\mathrm{Solve}\:\mathrm{for}\:\mathrm{real}\:\mathrm{numbers}: \\ $$$$\begin{cases}{\sqrt{\mathrm{x}}\:-\:\mathrm{y}^{\mathrm{5}} \:=\:\mathrm{3}}\\{\sqrt[{\mathrm{5}}]{\sqrt{\mathrm{x}}\:-\:\mathrm{3}}\:-\:\sqrt[{\mathrm{5}}]{\mathrm{y}^{\mathrm{5}} \:+\:\mathrm{6}}\:=\:-\:\mathrm{1}}\end{cases}\: \\ $$$$ \\ $$ Answered by MJS_new last updated on 31/Oct/21…

the-intrest-on-a-certain-sum-of-money-at-the-end-of-6-25-year-was-5-16-of-the-sum-itself-what-is-the-rate-percent-

Question Number 27103 by ktomboy1992 last updated on 02/Jan/18 $$\mathrm{the}\:\mathrm{intrest}\:\mathrm{on}\:\mathrm{a}\:\mathrm{certain}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{money}\:\mathrm{at}\:\mathrm{the} \\ $$$$\mathrm{end}\:\mathrm{of}\:\mathrm{6}.\mathrm{25}\:\mathrm{year}\:\mathrm{was}\:\frac{\mathrm{5}}{\mathrm{16}}\:\mathrm{of}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{itself}.\mathrm{what} \\ $$$$\mathrm{is}\:\mathrm{the}\:\mathrm{rate}\:\mathrm{percent}? \\ $$ Commented by mrW1 last updated on 02/Jan/18 $$\Rightarrow\:{Q}\mathrm{27016} \\…