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Question-33064

Question Number 33064 by artibunja last updated on 09/Apr/18 Commented by abdo imad last updated on 09/Apr/18 $${we}\:{must}\:{have}\:\mathrm{2}{x}+\mathrm{3}>\mathrm{0}\:{and}\:\mathrm{10}{x}^{\mathrm{2}} \:+\mathrm{13}{x}\:+\mathrm{4}>\mathrm{0} \\ $$$$\Delta\:=\mathrm{13}^{\mathrm{2}} \:−\mathrm{4}\:×\mathrm{10}\:×\mathrm{4}\:=\mathrm{169}\:−\mathrm{160}\:=\mathrm{9}\:>\mathrm{0} \\ $$$${x}_{\mathrm{1}} =\frac{−\mathrm{13}\:+\mathrm{3}}{\mathrm{20}}=−\frac{\mathrm{1}}{\mathrm{2}}\:,\:{x}_{\mathrm{2}}…

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Question Number 33043 by mondodotto@gmail.com last updated on 09/Apr/18 $$\:\boldsymbol{\mathrm{equal}}\:\boldsymbol{\mathrm{squares}}\:\boldsymbol{\mathrm{as}}\:\boldsymbol{\mathrm{large}}\:\boldsymbol{\mathrm{as}}\:\boldsymbol{\mathrm{possible}} \\ $$$$\:\boldsymbol{\mathrm{are}}\:\boldsymbol{\mathrm{drawn}}\:\boldsymbol{\mathrm{on}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{rectangular}}\:\boldsymbol{\mathrm{ceiling}}\:\boldsymbol{\mathrm{board}} \\ $$$$\:\boldsymbol{\mathrm{measuring}}\:\mathrm{54}\boldsymbol{\mathrm{cm}}\:\boldsymbol{\mathrm{by}}\:\mathrm{78}\boldsymbol{\mathrm{cm}},\boldsymbol{\mathrm{find}} \\ $$$$\:\left(\boldsymbol{\mathrm{a}}\right)\boldsymbol{\mathrm{The}}\:\boldsymbol{\mathrm{size}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{squares}} \\ $$$$\:\left(\boldsymbol{\mathrm{b}}\right)\boldsymbol{\mathrm{The}}\:\boldsymbol{\mathrm{total}}\:\boldsymbol{\mathrm{number}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{squares}} \\ $$ Answered by math1967 last updated…

Question-32999

Question Number 32999 by artibunja last updated on 09/Apr/18 Commented by prof Abdo imad last updated on 09/Apr/18 $$\Leftrightarrow\:\:\:\left(\:\:\frac{{ln}\left({x}+\mathrm{1}\right)}{{ln}\left(\frac{\mathrm{1}}{\mathrm{3}}\right)}\right)^{−\mathrm{1}} \:>\mathrm{1}\:\Leftrightarrow\:\left(\:\frac{{ln}\left({x}+\mathrm{1}\right)}{−{ln}\left(\mathrm{3}\right)}\right)^{−\mathrm{1}} \:>\mathrm{1}\:\:{with}\:{x}>−\mathrm{1} \\ $$$$\Leftrightarrow\:−\:\frac{{ln}\mathrm{3}}{{ln}\left({x}+\mathrm{1}\right)}\:>\:\mathrm{1}\:\Leftrightarrow\:\:\frac{{ln}\mathrm{3}}{{ln}\left({x}+\mathrm{1}\right)}\:<−\mathrm{1} \\ $$$$\Leftrightarrow\:\:\frac{{ln}\mathrm{3}}{{ln}\left({x}+\mathrm{1}\right)}\:+\mathrm{1}\:<\mathrm{0}\:\Leftrightarrow\:\:\frac{{ln}\left({x}+\mathrm{1}\right)\:+{ln}\left(\mathrm{3}\right)}{{ln}\left({x}+\mathrm{1}\right)}\:<\mathrm{0}…

Question-98528

Question Number 98528 by DELETED last updated on 14/Jun/20 Commented by john santu last updated on 14/Jun/20 $$\left(\mathrm{3}\right)\mathrm{x}+\mathrm{y}+\mathrm{z}\:=\:\mathrm{3} \\ $$$$\frac{\mathrm{34}}{\mathrm{13}}\:+\:\frac{\mathrm{4}}{\mathrm{13}}\:+\:\frac{\mathrm{12}}{\mathrm{13}}\:=\:\frac{\mathrm{50}}{\mathrm{13}}\:=\:\mathrm{3}\:???????? \\ $$ Commented by bobhans…