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Category: Algebra

Question-102967

Question Number 102967 by O Predador last updated on 11/Jul/20 Answered by Dwaipayan Shikari last updated on 11/Jul/20 $$\sqrt{{x}}+\frac{\mathrm{1}}{\:\sqrt{{x}}}=\mathrm{17} \\ $$$$\:\:\:\:\:\:\sqrt{\left(\sqrt{{x}}+\frac{\mathrm{1}}{\:\sqrt{{x}}}\right)^{\mathrm{2}} −\mathrm{2}−\mathrm{143}}=\sqrt{\mathrm{17}^{\mathrm{2}} −\mathrm{145}}=\mathrm{12} \\ $$…

2-2-

Question Number 37411 by hari321 last updated on 12/Jun/18 $$\left(\sqrt{\left.\mathrm{2}\right)^{\sqrt{\mathrm{2}}} }\right. \\ $$ Answered by MJS last updated on 12/Jun/18 $$\left(\sqrt{\mathrm{2}}\right)^{\sqrt{\mathrm{2}}} =\left(\mathrm{2}^{\frac{\mathrm{1}}{\mathrm{2}}} \right)^{\sqrt{\mathrm{2}}} =\mathrm{2}^{\frac{\sqrt{\mathrm{2}}}{\mathrm{2}}} =\mathrm{2}^{\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}}…

Question-102940

Question Number 102940 by Jamshidbek2311 last updated on 11/Jul/20 Commented by prakash jain last updated on 11/Jul/20 $${y}^{{y}} =\mathrm{3}^{−\sqrt{\mathrm{48}}} \\ $$$${y}\mathrm{ln}\:{y}=−\mathrm{4}\sqrt{\mathrm{3}}\mathrm{ln}\:\mathrm{3}<−\frac{\mathrm{1}}{{e}} \\ $$$$\mathrm{no}\:\mathrm{real}\:\mathrm{solutions}. \\ $$…