The equation \begin{align*}
9x³-3x²-3x-1 & =0
\end{align*} has a real root of the form $\frac{√3a+√3b+1}{c}$
where
a, b, c are positive integers. Find a + b + c.
National Camp Exam 2018 P9
- Mehrab4226
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Re: National Camp Exam 2018 P9
I think you didn't type the question correctly.Swapnil Barua wrote: ↑Tue Apr 20, 2021 8:57 pmThe equation \begin{align*}
9x³-3x²-3x-1 & =0
\end{align*} has a real root of the form $\frac{√3a+√3b+1}{c}$
where
a, b, c are positive integers. Find a + b + c.
Short solution:
The Mathematician does not study math because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.
-Henri Poincaré
-Henri Poincaré