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Category: Algebra

Question-132031

Question Number 132031 by mathlove last updated on 10/Feb/21 Commented by kaivan.ahmadi last updated on 10/Feb/21 $${p}\left({x}\right)={f}\left({x}\right)\left({x}−\mathrm{1}\right)+\mathrm{3}={g}\left({x}\right)\left({x}+\mathrm{1}\right)+\mathrm{7} \\ $$$${p}\left(\mathrm{1}\right)=\mathrm{3},{p}\left(−\mathrm{1}\right)=\mathrm{7} \\ $$$${p}\left({x}\right)={t}\left({x}\right)\left({x}^{\mathrm{2}} −\mathrm{1}\right)+{k}\left({x}\right) \\ $$$${p}\left(\mathrm{1}\right)={k}\left(\mathrm{1}\right)\Rightarrow{k}\left(\mathrm{1}\right)=\mathrm{3}\Rightarrow\left(\mathrm{1},\mathrm{3}\right)\in{k} \\…

x-9-2-3-what-is-x-

Question Number 888 by Karting7442 last updated on 14/Apr/15 $$\frac{{x}+\mathrm{9}}{\mathrm{2}}=\mathrm{3} \\ $$$${what}\:{is}\:{x}? \\ $$ Answered by 123456 last updated on 14/Apr/15 $$\frac{{x}+\mathrm{9}}{\mathrm{2}}=\mathrm{3} \\ $$$$\frac{{x}+\mathrm{9}}{\mathrm{2}}×\mathrm{2}=\mathrm{3}×\mathrm{2} \\…

Solve-x-3-x-3-lt-1-

Question Number 880 by arnav last updated on 11/Apr/15 $${Solve} \\ $$$$\frac{{x}+\mathrm{3}}{{x}−\mathrm{3}}<\mathrm{1} \\ $$ Answered by 123456 last updated on 11/Apr/15 $$\frac{{x}+\mathrm{3}}{{x}−\mathrm{3}}−\mathrm{1}<\mathrm{0} \\ $$$$\frac{{x}+\mathrm{3}−{x}+\mathrm{3}}{{x}−\mathrm{3}}<\mathrm{0} \\…

Solve-4x-3y-7xy-3x-2y-18xy-

Question Number 867 by sagarwal last updated on 03/Apr/15 $$\mathrm{Solve} \\ $$$$\mathrm{4}{x}−\mathrm{3}{y}=\mathrm{7}{xy} \\ $$$$\mathrm{3}{x}+\mathrm{2}{y}=\mathrm{18}{xy} \\ $$ Commented by 123456 last updated on 03/Apr/15 $$\begin{cases}{\mathrm{4}{x}−\mathrm{3}{y}=\mathrm{7}{xy}}\\{\mathrm{3}{x}+\mathrm{2}{y}=\mathrm{18}{xy}}\end{cases} \\…

Solve-2x-4-14-

Question Number 850 by sagarwal last updated on 25/Mar/15 $$\mathrm{Solve}\:\mid\mathrm{2}{x}+\mathrm{4}\mid\geqslant\mathrm{14} \\ $$ Answered by 123456 last updated on 25/Mar/15 $$\mid\mathrm{2}{x}+\mathrm{4}\mid\geqslant\mathrm{14} \\ $$$$\mathrm{2}{x}+\mathrm{4}\leqslant−\mathrm{14}\vee\mathrm{2}{x}+\mathrm{4}\geqslant\mathrm{14} \\ $$$$\mathrm{2}{x}\leqslant−\mathrm{18}\vee\mathrm{2}{x}\geqslant\mathrm{10} \\…

Give-me-any-Quintic-i-shall-solve-it-For-sure-At-5-Bt-4-Ct-3-Dt-2-Et-F-0-wont-even-assume-A-1-or-B-0-but-if-A-C-E-B-D-F-then-my-formula-dont-work-but-then-obviously-t-1-is-a-root-

Question Number 66382 by ajfour last updated on 13/Aug/19 $${Give}\:{me}\:{any}\:{Quintic},\:{i}\:{shall}\:{solve} \\ $$$${it}.\:{For}\:{sure}! \\ $$$${At}^{\mathrm{5}} +{Bt}^{\mathrm{4}} +{Ct}^{\mathrm{3}} +{Dt}^{\mathrm{2}} +{Et}+{F}=\mathrm{0} \\ $$$${wont}\:{even}\:{assume}\:{A}=\mathrm{1},\:{or}\:{B}=\mathrm{0}. \\ $$$${but}\:{if}\:{A}+{C}+{E}={B}+{D}+{F}\: \\ $$$${then}\:{my}\:{formula}\:{dont}\:{work} \\…