Mathematics
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40
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All Questions Answers
Score Newest
question
17
Prove that: $e-\ln(10)>\sqrt 2-1.$
Nov 8, 2022
question
16
Under the which condition, factorisation of $a_1^n+a_2^n+\cdots+a_n^n-na_1a_2a_3...a_n ?$ is possible?
Oct 23, 2022
question
14
Prove that: $x^x-y^y\ge(x-y)^x-(x-y)^y$, where $x\ge y>0.$
Nov 5, 2022
question
12
Possible "clever" ways to solve $x^4+x^3-2x+1=0$, with methodological justification
Oct 4, 2022
answer
9
How can I solve $e^x=\frac 1{x+5}$?
Aug 18, 2022
question
9
Conjecture: There always exist $k\in \Bbb N$, such that $m^k\equiv k\pmod n$, where $m,n\in\Bbb N.$
Nov 8, 2022
answer
8
Finding all possible complex solutions to the system $xy = \sqrt 2(x + y)$, $yz = \sqrt 3(y + z)$, $zx = \sqrt 5(z + x)$
Aug 10, 2022
answer
7
$x^{x^2} + x^{x^8} =?$ Given $x^{x^4} = 4$
Aug 17, 2022
question
7
Prove that: $\sqrt [3]{36}<\ln 28<\sqrt [3]{37}$
Dec 1, 2022
question
6
Is everything ok with this notation? $A=\{x\mid 2x,x\in\Bbb{N}\}$
Jun 23, 2022

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