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$\left(\frac {13x-x^2}{x+1}\right) \left(x + \frac {13-x}{x+1}\right) = 4$

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If the roots of the equation above are $a$, $b$, $c$, and $d$, find ...

$a,b \in \mathbb{R}, a>b>0$, Find the minimum of $\sqrt{2}a^3+\dfrac{3}{ab-b^2}$

If you filled each cell of the following hexagon with integers (where some are the same and some are different) so that the sum of the numbers in each row ...

A bug of negligible size starts at the origin of the coordinate plane. First, it moves 1 unit right to $(1,0)$. Then it makes a $90^\circ$ turn counterclockwise ...

If $a, b,$ and $c$ are real numbers greater than $-1$ and $\sqrt{1+b}+\sqrt{1+c}=2\sqrt{1+a},$ then $b+c\geq 2a$.

The statement above ...

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