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In an isosceles triangle $\triangle ABC$, two equal right triangles $\triangle BCD$ and $\triangle BDE$ are drawn. Three identical circles of radius $1$ are inscribed inside the triangles as shown ...

The polynomials $x^2+ax+b$ and $x^2+ax-b$ can be factorized where $a,b\in\mathbb{Z^+}$ and $\gcd(a,b)=1$

Find the minimum $b$ such that ...

If equation below have solution, find sum of all possible $n\in\mathbb{N}$:

...

Let $f(x)=(e^x-a)(3ax+1)$. If $\forall x \in \mathbb R$, $f(x) \geq 0$, how many possible values for $a$ that satisfies the condition?

If you think ...

For a $N^\text{th}$ polynomial which satisfy $f(i) = \dfrac1{\binom{N+1}i }$ for $i = 0,1,2,\ldots, N$, what is the sum of the possible outcomes ...

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