Why don't you try bashing this

Algebra Level 3

\[ \large 2^{2015} =x^{100} + 3x^{99} + 5x^{98} + 7x^{97} +\ldots+ 195x^{3} + 197x^{2} + 199x \]

In the equation above, all coefficients in the right side of the equation follows an arithmetic progression. How many roots of \(x\) occur along the open interval \((17,18) \)?

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