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Category: Algebra

Question-221791

Question Number 221791 by hardmath last updated on 10/Jun/25 Commented by hardmath last updated on 10/Jun/25 $$\mathrm{ABC}\:-\:\mathrm{equilateral}\:\mathrm{triangle} \\ $$$$\mathrm{MK}\:\parallel\:\mathrm{AB} \\ $$$$\mathrm{MN}\:\parallel\:\mathrm{AC} \\ $$$$\mathrm{ML}\:\bot\:\mathrm{AB} \\ $$$$\mathrm{AC}\:=\:\mathrm{a}…

For-n-N-n-3-Prove-0-1-2-lt-p-2n-e-2piip-2-e-4piin-d-gt-0-p-is-a-prime-number-

Question Number 221778 by MrGaster last updated on 10/Jun/25 $$\mathrm{For}\:\forall{n}\in\boldsymbol{{N}}^{\ast} ,{n}\geq\mathrm{3}\:\mathrm{Prove}: \\ $$$$\int_{\mathrm{0}} ^{\mathrm{1}} \left(\underset{\mathrm{2}<{p}\leq\mathrm{2}{n}} {\sum}{e}^{\mathrm{2}\pi{ip}+\alpha} \right)^{\mathrm{2}} {e}^{−\mathrm{4}\pi{in}\alpha} {d}\alpha>\mathrm{0},{p}\:\mathrm{is}\:\mathrm{a}\:\mathrm{prime}\:\mathrm{number} \\ $$ Terms of Service Privacy…

81-1-64-1-27-1-3-4-0-4-3-4-

Question Number 221754 by fantastic last updated on 09/Jun/25 $$\left.\sqrt[{\sqrt[{\sqrt[{\:\mathrm{3}^{\mathrm{4}^{\mathrm{0}^{\mathrm{4}^{\mathrm{3}} } } } }]{\mathrm{27}}}]{\mathrm{64}}}]{\mathrm{81}}\right)^{\sqrt{\mathrm{4}}} \\ $$ Answered by wewji12 last updated on 09/Jun/25 $$…..\mathrm{what}\:\mathrm{a}\:\mathrm{horrible}\:\mathrm{notation} \\…

solve-for-x-a-a-x-a-a-x-2x-it-s-possible-to-solve-for-a-but-x-seems-impossible-to-me-

Question Number 221501 by Jyrgen last updated on 07/Jun/25 $${solve}\:{for}\:\mathrm{x}: \\ $$$$\sqrt{\mathrm{a}−\sqrt{\mathrm{a}+\mathrm{x}}}+\sqrt{\mathrm{a}+\sqrt{\mathrm{a}−\mathrm{x}}}=\mathrm{2x} \\ $$$${it}'{s}\:{possible}\:{to}\:{solve}\:{for}\:\mathrm{a}\:{but}\:\mathrm{x}\:{seems} \\ $$$${impossible}\:{to}\:{me} \\ $$ Answered by ajfour last updated on 07/Jun/25…