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Mathematics
Lê Thành Đạt's user avatar
Lê Thành Đạt's user avatar
Lê Thành Đạt's user avatar
Lê Thành Đạt
  • Member for 5 years, 4 months
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Hello there! I have nothing to say about me so this message will be left as a reminder of how uncreative I am.

(And sure, credit where credit is due, this illustration is courtesy of spareshadez.)

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13
Find all natural solutions $(a, b)$ such that $(ab - 1) \mid (a^2 + a - 1)^2$.
Jan 12, 2020
13
Prove that $LB = LC$.
Aug 1, 2019
10
Is there a point $H$ such that $\frac{AH \cdot DM}{HD^2} = \frac{BH \cdot EN}{HE^2} = \frac{CH \cdot FP}{HF^2}$?
May 20, 2019
8
Prove that the tangent of $(ABC)$ at point $F$ passes through the midpoint of $KJ$.
Sep 27, 2019
7
Find minimum of $4(a^3 + b^3 + c^3) + 15abc$ subject to $a + b + c = 2$
Mar 18, 2019
7
Prove that $BC$, $B_1C_1$, $B_2C_2$ are concurrent.
Mar 24, 2019
7
Prove that $P$ lies on line $CC'$.
Jul 20, 2019
6
When $a^2 + b^2 + c^2 + d^2 = 1$ and the expression $(a - b)(b - c)(c - d)(d - a)$ reaches its minimum value, determine the value of product $abcd$.
Jun 3, 2022
6
Find all possible integers $n$ such that $\sqrt{n + 2} + \sqrt{n + \sqrt{n + 2}}$ is an integer.
Jun 13, 2019
6
Prove that for all $\alpha + \beta + \gamma = \pi$, $\sum_{cyc}\frac{\sin\beta}{\cos\beta + 1} = \frac{\sum_{cyc}\cos\beta + 3}{\sum_{cyc}\sin\beta}$.
May 22, 2020