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Category: Algebra

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)\:. \\…

Question-78108

Question Number 78108 by mr W last updated on 14/Jan/20 Commented by mr W last updated on 14/Jan/20 $${find}\:{the}\:{relation}\:{between}\:{a}\:{and}\:{c}. \\ $$$$ \\ $$$$\left({i}\:{reposted}\:{the}\:{question}\:{here}\:{to}\:{avoid}\right. \\ $$$${that}\:{the}\:{solution}\:{will}\:{be}\:{deleted}\:{by}…

Question-78102

Question Number 78102 by Pratah last updated on 14/Jan/20 Commented by MJS last updated on 14/Jan/20 $$\mathrm{solve}\:\mathrm{the}\:\mathrm{system}\:\mathrm{for}\:{a},\:{b},\:{c},\:{d}\:\mathrm{with}\:\mathrm{any}\:\mathrm{of} \\ $$$$\mathrm{these}\:\mathrm{as}\:\mathrm{parameter},\:\mathrm{then}\:\mathrm{calculate}\:\mathrm{the} \\ $$$$\mathrm{needed}\:\mathrm{values}\:\Rightarrow\:\mathrm{done}! \\ $$ Answered by…