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Author: Tinku Tara

eqution-

Question Number 5450 by 3 last updated on 15/May/16 $${eqution} \\ $$ Answered by FilupSmith last updated on 15/May/16 $${ax}^{\mathrm{2}} +{bx}+{c}=\mathrm{0} \\ $$$$\mathrm{is}\:\mathrm{an}\:\mathrm{equation}\:\mathrm{with}\:\mathrm{solution}: \\ $$$${x}=\frac{−{b}\pm\sqrt{{b}^{\mathrm{2}}…

6-8-

Question Number 5447 by 3 last updated on 15/May/16 $$\mathrm{6}/\mathrm{8} \\ $$$$ \\ $$ Answered by FilupSmith last updated on 15/May/16 $$\frac{\mathrm{6}}{\mathrm{8}}=\frac{\mathrm{2}×\mathrm{3}}{\mathrm{2}×\mathrm{4}} \\ $$$$=\frac{\mathrm{2}}{\mathrm{2}}×\frac{\mathrm{3}}{\mathrm{4}} \\…

find-all-integers-x-y-5-x-3-x-2021y-

Question Number 136516 by metamorfose last updated on 22/Mar/21 $${find}\:{all}\:{integers}\:\left({x},{y}\right)\::\:\mathrm{5}^{{x}} =\mathrm{3}^{{x}} +\mathrm{2021}{y} \\ $$ Answered by MJS_new last updated on 23/Mar/21 $$\mathrm{solution}:\:{x}=\mathrm{322}{n}\wedge{y}=\frac{\mathrm{5}^{\mathrm{322}{n}} −\mathrm{3}^{\mathrm{322}{n}} }{\mathrm{2021}}\forall{n}\in\mathbb{N} \\…

1-1-2-2k-1-3-2-4-2k-1-3-5-2-4-6-2k-1-3-5-7-2-4-6-8-2k-Find-the-general-form-

Question Number 136519 by Dwaipayan Shikari last updated on 22/Mar/21 $$\mathrm{1}−\left(\frac{\mathrm{1}}{\mathrm{2}}\right)^{\mathrm{2}{k}} +\left(\frac{\mathrm{1}.\mathrm{3}}{\mathrm{2}.\mathrm{4}}\right)^{\mathrm{2}{k}} −\left(\frac{\mathrm{1}.\mathrm{3}.\mathrm{5}}{\mathrm{2}.\mathrm{4}.\mathrm{6}}\right)^{\mathrm{2}{k}} +\left(\frac{\mathrm{1}.\mathrm{3}.\mathrm{5}.\mathrm{7}}{\mathrm{2}.\mathrm{4}.\mathrm{6}.\mathrm{8}}\right)^{\mathrm{2}{k}} −…. \\ $$$${Find}\:{the}\:{general}\:{form} \\ $$ Answered by mindispower last updated on…

Soit-E-A-un-espace-mesure-On-suppose-qu-il-existe-un-X-A-tel-X-1-Montrer-que-si-est-semi-finie-alors-r-gt-0-il-existe-B-X-tel-que-r-lt-B-lt-

Question Number 70980 by ~ À ® @ 237 ~ last updated on 10/Oct/19 $$\:{Soit}\:\left({E},\mathcal{A},\mu\right)\:{un}\:\:{espace}\:{mesure}\:\:.\:{On}\:{suppose} \\ $$$${qu}'{il}\:{existe}\:{un}\:{X}\in\mathcal{A}\:\:{tel}\:\:\mu\left({X}\right)=+\infty \\ $$$$\left.\mathrm{1}\right){Montrer}\:{que}\:{si}\:\:\mu\:{est}\:{semi}-{finie}\:\:{alors} \\ $$$$\forall\:{r}>\mathrm{0}\:\:{il}\:{existe}\:\:{B}\subseteq{X}\:{tel}\:{que}\:\:{r}<\mu\left({B}\right)<\:+\infty \\ $$$$ \\ $$…