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Category: Algebra

after-factorise-x2-2x-1-we-get-

Question Number 26229 by ktomboy1992 last updated on 22/Dec/17 $$\mathrm{after}\:\mathrm{factorise}\:\left(\mathrm{x2}+\mathrm{2x}+\mathrm{1}\right)\mathrm{we}\:\mathrm{get} \\ $$ Commented by Rasheed.Sindhi last updated on 22/Dec/17 $$\mathrm{x}^{\mathrm{2}} +\mathrm{2x}+\mathrm{1}=\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} \\ $$ Answered by…

if-x-2-1-x-2-98-find-x-3-1-x-3-

Question Number 26227 by ktomboy1992 last updated on 23/Dec/17 $$\mathrm{if}\:\mathrm{x}^{\mathrm{2}} +\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}} }=\mathrm{98}\:\mathrm{find}\:\mathrm{x}^{\mathrm{3}} +\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{3}} } \\ $$ Answered by $@ty@m last updated on 22/Dec/17 $${x}^{\mathrm{2}} +\frac{\mathrm{1}}{{x}^{\mathrm{2}}…

if-x-4-1-x-4-322-find-x-3-1-x-3-

Question Number 26228 by ktomboy1992 last updated on 23/Dec/17 $$\mathrm{if}\:\mathrm{x}^{\mathrm{4}} +\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{4}} }=\mathrm{322}\:\mathrm{find}\:\mathrm{x}^{\mathrm{3}} −\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{3}} } \\ $$ Commented by kaivan.ahmadi last updated on 22/Dec/17 $$\mathrm{x}^{\mathrm{4}} +\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{4}}…

find-the-value-of-x-1-x-when-x-4-1-x-4-332-

Question Number 26224 by ktomboy1992 last updated on 22/Dec/17 $$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x}−\frac{\mathrm{1}}{\mathrm{x}}.\mathrm{when}\:{x}^{\mathrm{4}} +\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{4}} }=\mathrm{332} \\ $$ Commented by kaivan.ahmadi last updated on 22/Dec/17 $$\mathrm{x}^{\mathrm{4}} +\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{4}} }=\left(\mathrm{x}^{\mathrm{2}} +\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}}…

I-think-of-a-two-digit-number-The-sum-of-the-digits-is-9-When-the-number-is-reversed-and-subtracted-from-the-original-the-result-is-45-Find-the-original-number-

Question Number 26207 by pieroo last updated on 22/Dec/17 $$\mathrm{I}\:\mathrm{think}\:\mathrm{of}\:\mathrm{a}\:\mathrm{two}\:\mathrm{digit}\:\mathrm{number}.\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{digits}\:\mathrm{is}\:\mathrm{9}. \\ $$$$\mathrm{When}\:\mathrm{the}\:\mathrm{number}\:\mathrm{is}\:\mathrm{reversed}\:\mathrm{and}\:\mathrm{subtracted}\:\mathrm{from}\:\mathrm{the} \\ $$$$\mathrm{original},\:\mathrm{the}\:\mathrm{result}\:\mathrm{is}\:\mathrm{45}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{original}\:\mathrm{number} \\ $$ Answered by peileng8802 last updated on 22/Dec/17 $$\mathrm{let}\:\mathrm{x}\:\mathrm{be}\:\mathrm{tens}\:\:\:\mathrm{y}\:\mathrm{be}\:\mathrm{ones} \\…

Question-91744

Question Number 91744 by ajfour last updated on 02/May/20 Commented by ajfour last updated on 02/May/20 $${If}\:\:{the}\:{red}\:{cubic}\:{curve}\:{has}\:{equation} \\ $$$$\:\boldsymbol{{y}}=\boldsymbol{{x}}^{\mathrm{3}} +\boldsymbol{{ax}}^{\mathrm{2}} +\boldsymbol{{bx}}+\boldsymbol{{c}}\:\:\:\:{while}\:{the} \\ $$$${blue}\:{one}\:{is}\:{the}\:{same}\:{red} \\ $$$${one},\:{shifted}\:{such}\:{that}\:{two}\:{roots}…

Solve-for-real-numbers-sin-x-cos-x-sec-x-csc-x-2-2-

Question Number 157265 by MathSh last updated on 21/Oct/21 $$\mathrm{Solve}\:\mathrm{for}\:\mathrm{real}\:\mathrm{numbers}: \\ $$$$\mathrm{sin}\left(\mathrm{x}\right)\:+\:\mathrm{cos}\left(\mathrm{x}\right)\:+\:\mathrm{sec}\left(\mathrm{x}\right)\centerdot\mathrm{csc}\left(\mathrm{x}\right)=\mathrm{2}+\sqrt{\mathrm{2}} \\ $$ Answered by TheSupreme last updated on 21/Oct/21 $${sin}\left({x}\right)+{cos}\left({x}\right)−\frac{\mathrm{1}}{{sin}\left({x}\right){cos}\left({x}\right)}={A} \\ $$$$\pm{s}\sqrt{\mathrm{1}−{s}^{\mathrm{2}} }−\left(\pm\frac{\mathrm{1}}{{s}\sqrt{\mathrm{1}−{s}^{\mathrm{2}}…

Find-the-least-possible-value-of-x-8x-24-mod-16-i-3x-6-mod-25-ii-

Question Number 91732 by I want to learn more last updated on 02/May/20 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{least}\:\mathrm{possible}\:\mathrm{value}\:\mathrm{of}\:\:\mathrm{x} \\ $$$$\:\:\:\:\mathrm{8x}\:\equiv\:\mathrm{24}\:\left(\mathrm{mod}\:\mathrm{16}\right)\:\:\:\:\:….\:\left(\mathrm{i}\right) \\ $$$$\:\:\:\:\mathrm{3x}\:\equiv\:\mathrm{6}\:\left(\mathrm{mod}\:\mathrm{25}\right)\:\:\:\:\:\:….\:\left(\mathrm{ii}\right) \\ $$ Commented by mr W last…