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Category: Algebra

x-50-y-100-z-150-x-y-z-4-78-find-x-y-z-

Question Number 106281 by bemath last updated on 04/Aug/20 $$\sqrt{\mathrm{x}+\mathrm{50}}+\sqrt{\mathrm{y}+\mathrm{100}}+\sqrt{\mathrm{z}+\mathrm{150}}=\frac{\mathrm{x}+\mathrm{y}+\mathrm{z}}{\mathrm{4}}+\mathrm{78} \\ $$$$\mathrm{find}\:\mathrm{x}+\mathrm{y}−\mathrm{z}\: \\ $$ Answered by bobhans last updated on 04/Aug/20 $$\mathrm{4}\sqrt{\mathrm{x}+\mathrm{50}}+\mathrm{4}\sqrt{\mathrm{y}+\mathrm{100}}+\mathrm{4}\sqrt{\mathrm{z}+\mathrm{150}}\:=\mathrm{x}+\mathrm{y}+\mathrm{z}+\mathrm{312} \\ $$$$\left.\left(\left.\mathrm{x}+\mathrm{50}\right)−\mathrm{4}\sqrt{\mathrm{x}+\mathrm{50}}\right)+\left(\mathrm{y}+\mathrm{100}\right)−\mathrm{4}\sqrt{\mathrm{y}+\mathrm{100}}\right)+\mathrm{z}+\mathrm{150}−\mathrm{4}\sqrt{\mathrm{z}+\mathrm{150}}+\mathrm{12}=\mathrm{0} \\…

1-5-11-19-29-

Question Number 106272 by Muhsang S L last updated on 04/Aug/20 $$\sqrt{\mathrm{1}\:+\:\sqrt{\mathrm{5}\:+\sqrt{\mathrm{11}\:+\:\sqrt{\mathrm{19}\:+\:\sqrt{\mathrm{29}\:+\:\sqrt{\ldots}}}}}}\:=\:? \\ $$ Commented by Her_Majesty last updated on 04/Aug/20 $$\mathrm{2} \\ $$ Answered…