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Category: Algebra

2-x-y-2-7-x-y-N-x-y-

Question Number 168672 by mathlove last updated on 15/Apr/22 $$\mathrm{2}^{{x}} ={y}^{\mathrm{2}} +\mathrm{7}\:\:\:\:\:\:\:\:\:{x},{y}\in{N} \\ $$$${x}=?\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{y}=? \\ $$ Commented by safojontoshtemirov last updated on 15/Apr/22 $${x}=\mathrm{3}\:\:\:{y}=\mathrm{1}\:\:\:\:{x}=\mathrm{7}\:\:\:\:{y}=\mathrm{11} \\…

let-and-the-roots-of-the-equation-x-2-2mx-1-0-find-interms-of-the-real-m-A-2-2-B-3-3-c-4-4-D-6-6-

Question Number 37568 by math khazana by abdo last updated on 15/Jun/18 $${let}\:\alpha\:{and}\:\beta\:{the}\:{roots}\:{of}\:{the}\:{equation} \\ $$$${x}^{\mathrm{2}} \:−\mathrm{2}{mx}\:−\mathrm{1}\:=\mathrm{0}\:\:{find}\:{interms}\:{of}\:{the}\:{real}\:{m} \\ $$$${A}\:=\:\alpha^{\mathrm{2}} \:+\beta^{\mathrm{2}} \\ $$$${B}\:=\alpha^{\mathrm{3}} \:+\beta^{\mathrm{3}} \\ $$$${c}\:=\alpha^{\mathrm{4}} \:+\beta^{\mathrm{4}}…

Let-ABC-be-a-triangle-with-ABC-60-and-ACB-50-IABI-a-2-2-IBCI-a-in-this-instance-prove-that-IACI-3-

Question Number 168642 by Shrinava last updated on 15/Apr/22 $$\mathrm{Let}\:\:\bigtriangleup\mathrm{ABC}\:\:\mathrm{be}\:\mathrm{a}\:\mathrm{triangle}\:\mathrm{with} \\ $$$$\angle\mathrm{ABC}=\mathrm{60}°\:\:\mathrm{and}\:\:\angle\mathrm{ACB}=\mathrm{50}°. \\ $$$$\mathrm{IABI}=\mathrm{a}^{\mathrm{2}} −\mathrm{2}\:,\:\mathrm{IBCI}=\mathrm{a}\:\:\mathrm{in}\:\mathrm{this} \\ $$$$\mathrm{instance}\:,\:\mathrm{prove}\:\mathrm{that}\:\:\mathrm{IACI}=\sqrt{\mathrm{3}}. \\ $$ Terms of Service Privacy Policy Contact:…

solve-for-x-y-N-1-x-1-y-3-202-

Question Number 103093 by mr W last updated on 12/Jul/20 $${solve}\:{for}\:{x},{y}\in\mathbb{N} \\ $$$$\frac{\mathrm{1}}{{x}}+\frac{\mathrm{1}}{{y}}=\frac{\mathrm{3}}{\mathrm{202}} \\ $$ Answered by 1549442205 last updated on 13/Jul/20 $$\mathrm{We}\:\mathrm{have}\:\frac{\mathrm{1}}{\mathrm{x}}+\frac{\mathrm{1}}{\mathrm{y}}=\frac{\mathrm{3}}{\mathrm{202}}\Leftrightarrow\frac{\mathrm{x}+\mathrm{y}}{\mathrm{xy}}=\frac{\mathrm{3}}{\mathrm{202}} \\ $$$$\Leftrightarrow\mathrm{3xy}=\mathrm{202}\left(\mathrm{x}+\mathrm{y}\right)\Leftrightarrow\mathrm{9xy}=\mathrm{3}.\mathrm{202}\left(\mathrm{x}+\mathrm{y}\right)…