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Category: Algebra

Question-143731

Question Number 143731 by haladu last updated on 17/Jun/21 Answered by MJS_new last updated on 17/Jun/21 $$\mathrm{if}\:\mathrm{we}\:\mathrm{find}\:{x}>\mathrm{0}\:\mathrm{with}\:\frac{\mathrm{2}{x}+\mathrm{1}}{{x}−\mathrm{1}}={x}^{\mathrm{4}} \:\mathrm{we}\:\mathrm{have}\:\mathrm{a}\:\mathrm{real} \\ $$$$\mathrm{solution} \\ $$$$\Rightarrow \\ $$$${x}^{\mathrm{5}} −{x}^{\mathrm{4}}…

what-equation-of-ellips-with-F-1-1-2-F-2-3-4-and-a-3-

Question Number 78177 by jagoll last updated on 15/Jan/20 $${what}\:{equation}\:{of}\:{ellips} \\ $$$${with}\:{F}_{\mathrm{1}} \left(\mathrm{1},\mathrm{2}\right)\:{F}_{\mathrm{2}} \left(\mathrm{3},\mathrm{4}\right)\:{and}\:{a}\:=\:\sqrt{\mathrm{3}} \\ $$ Commented by MJS last updated on 15/Jan/20 $$\mathrm{what}\:\mathrm{are}\:\mathrm{we}\:“\mathrm{allowed}\:\mathrm{to}\:\mathrm{do}''? \\…

Solve-for-x-y-z-if-x-3-y-3-z-3-42-

Question Number 78168 by TawaTawa last updated on 14/Jan/20 $$\mathrm{Solve}\:\mathrm{for}\:\:\mathrm{x},\:\mathrm{y},\:\mathrm{z}\:\:\mathrm{if}:\:\:\mathrm{x}^{\mathrm{3}} \:+\:\mathrm{y}^{\mathrm{3}} \:+\:\mathrm{z}^{\mathrm{3}} \:\:=\:\:\mathrm{42} \\ $$ Commented by MJS last updated on 15/Jan/20 $${x}\in\mathbb{N},\:\mathbb{Z},\:\mathbb{R}? \\ $$…

Question-12628

Question Number 12628 by sin (x) last updated on 27/Apr/17 Answered by ajfour last updated on 27/Apr/17 $${Area}\left({ABCD}\right)=\frac{\mathrm{1}}{\mathrm{2}}\left({AD}+{BC}\right)\left({AB}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:\frac{\mathrm{1}}{\mathrm{2}}\left(\mathrm{2}\sqrt{\mathrm{13}^{\mathrm{2}} −\mathrm{12}^{\mathrm{2}} }\right)\left(\mathrm{24}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{120}\:\:\:\:\:\:\left(\boldsymbol{{B}}\right)\:. \\…