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Category: Algebra

Question-157435

Question Number 157435 by MathSh last updated on 23/Oct/21 Answered by mindispower last updated on 23/Oct/21 $$\sim\frac{{ln}^{\Phi^{\mathrm{2}} −\varphi\Phi} \left(\mathrm{1}+{x}\right)}{\mathrm{1}+{x}},{x}\rightarrow\infty \\ $$$$\Phi^{\mathrm{2}} −\varphi\Phi>\mathrm{0}\:{not}\:{integrable}\:{sir}\:{tcheck}\:{it} \\ $$ Commented…

solve-5x-1-1-x-2-y-2-12-equation-i-5y-1-1-x-2-y-2-4-equation-ii-

Question Number 26347 by tawa tawa last updated on 24/Dec/17 $$\mathrm{solve}: \\ $$$$\mathrm{5x}\left(\mathrm{1}\:+\:\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{y}^{\mathrm{2}} }\right)\:=\:\mathrm{12}\:\:\:\:\:\:\:\:…..\:\mathrm{equation}\:\left(\mathrm{i}\right) \\ $$$$\mathrm{5y}\left(\mathrm{1}\:−\:\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{y}^{\mathrm{2}} }\right)\:=\:\mathrm{4}\:\:\:\:\:\:\:\:\:\:\:……\:\mathrm{equation}\:\left(\mathrm{ii}\right) \\ $$ Terms of Service Privacy…

if-a-b-gt-0-then-prove-that-a-b-6-a-15-b-15-a-21-b-21-a-3-b-3-2-a-5-b-5-3-a-7-b-7-3-1-

Question Number 157417 by MathSh last updated on 23/Oct/21 $$\mathrm{if}\:\:\mathrm{a};\mathrm{b}>\mathrm{0}\:\:\mathrm{then}\:\mathrm{prove}\:\mathrm{that}: \\ $$$$\frac{\left(\mathrm{a}\:+\:\mathrm{b}\right)^{\mathrm{6}} \:\left(\mathrm{a}^{\mathrm{15}} \:+\:\mathrm{b}^{\mathrm{15}} \right)\:\left(\mathrm{a}^{\mathrm{21}} \:+\:\mathrm{b}^{\mathrm{21}} \right)}{\left(\mathrm{a}^{\mathrm{3}} \:+\:\mathrm{b}^{\mathrm{3}} \right)^{\mathrm{2}} \:\left(\mathrm{a}^{\mathrm{5}} \:+\:\mathrm{b}^{\mathrm{5}} \right)^{\mathrm{3}} \:\left(\mathrm{a}^{\mathrm{7}} \:+\:\mathrm{b}^{\mathrm{7}} \right)^{\mathrm{3}}…

solve-in-R-8-x-4-1-5-x-3-1-7x-2-12-

Question Number 91872 by  M±th+et+s last updated on 03/May/20 $${solve}\:{in}\:\mathbb{R} \\ $$$$\mathrm{8}\sqrt{\mathrm{x}^{\mathrm{4}} +\mathrm{1}}+\mathrm{5}\sqrt{\mathrm{x}^{\mathrm{3}} +\mathrm{1}}=\mathrm{7x}^{\mathrm{2}} +\mathrm{12} \\ $$ Commented by MJS last updated on 03/May/20 $$\mathrm{you}\:\mathrm{can}\:\begin{cases}{\left(\mathrm{square}+\mathrm{transform}\right)×\mathrm{2}\:\mathrm{and}\:\mathrm{then}}\\{\:\:\:\:\:\mathrm{approximate}\:\mathrm{the}\:\mathrm{8}^{\mathrm{th}}…

1-x-2x-x-4x-6-x-0-x-

Question Number 91870 by hmamarques1994@gmail.com last updated on 03/May/20 $$\:\frac{\overset{\:} {\mathrm{1}}}{\mathrm{x}^{\mathrm{2x}} }\:+\:\mathrm{x}^{−\mathrm{4x}} \:=\:\mathrm{6},\:\:\left(\mathrm{x}\:\neq\:\mathrm{0}\right) \\ $$$$\: \\ $$$$\:\mathrm{x}\:=\:\underset{\:} {?} \\ $$ Commented by MJS last updated…