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Author: Tinku Tara

bx-3-10a-2-bx-3a-3-y-ay-3-10ab-2-y-3b-3-x-solve-for-x-and-y-in-terms-of-a-b-and-solve-for-a-and-b-in-terms-of-x-y-

Question Number 192957 by York12 last updated on 31/May/23 $$ \\ $$$${bx}^{\mathrm{3}} =\mathrm{10}{a}^{\mathrm{2}} {bx}\:+\:\mathrm{3}{a}^{\mathrm{3}} {y}\:,\:{ay}^{\mathrm{3}} =\:\mathrm{10}{ab}^{\mathrm{2}} {y}\:+\:\mathrm{3}{b}^{\mathrm{3}} {x} \\ $$$${solve}\:{for}\:{x}\:{and}\:{y}\:{in}\:{terms}\:{of}\:\left({a}\:,\:{b}\right) \\ $$$${and}\:{solve}\:{for}\:{a}\:{and}\:{b}\:{in}\:{terms}\:{of}\:\:\left({x}\:,\:{y}\:\right) \\ $$ Commented…

Question-192959

Question Number 192959 by Mingma last updated on 31/May/23 Answered by a.lgnaoui last updated on 01/Jun/23 $$\bigtriangleup\mathrm{MYX}\:\mathrm{et}\:\:\mathrm{KYX}\:\:\:\mathrm{triangles}\:\mathrm{rectangles} \\ $$$$\mathrm{en}\:\mathrm{plus}\:\:\mathrm{la}\:\mathrm{corde}\:\mathrm{commun}\:\mathrm{YZ}=\mathrm{2XY} \\ $$$$\Rightarrow\:\mathrm{YX}\:=\frac{\mathrm{YZ}}{\mathrm{2}}=\mathrm{10} \\ $$$$\:\:\mathrm{MK}=\mathrm{MX}+\mathrm{XK} \\ $$$$\bigtriangleup\mathrm{MYX}\:\:\:\:\mathrm{MY}^{\mathrm{2}}…

let-I-dx-x-i-n-and-J-dx-x-i-n-1-calculate-I-and-J-interms-of-n-2-find-thevalue-of-integral-A-n-cos-narctan-1-x-1-x-2-n-

Question Number 61885 by maxmathsup by imad last updated on 10/Jun/19 $${let}\:{I}\:=\int_{−\infty} ^{+\infty} \:\:\frac{{dx}}{\left({x}+{i}\right)^{{n}} }\:\:{and}\:{J}\:=\int_{−\infty} ^{+\infty} \:\:\frac{{dx}}{\left({x}−{i}\right)^{{n}} } \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{I}\:{and}\:{J}\:{interms}\:{of}\:{n} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{thevalue}\:{of}\:{integral} \\ $$$${A}_{{n}} \:\:=\int_{−\infty}…

Question-192958

Question Number 192958 by Mingma last updated on 31/May/23 Answered by Frix last updated on 01/Jun/23 $$\mathrm{Question}\:\mathrm{191675} \\ $$$${x}=\frac{\mathrm{1}+\sqrt{\mathrm{5}}}{\mathrm{2}} \\ $$$$\left(\mathrm{2}{x}−\mathrm{1}\right)^{\mathrm{4}} =\left(\sqrt{\mathrm{5}}\right)^{\mathrm{4}} =\mathrm{25} \\ $$…