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Home » Thus, the smallest positive integer \( n \) is: - Abu Waleed Tea

Thus, the smallest positive integer \( n \) is: - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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At \( x = \frac{2}{\sqrt{3}} \):
g\left(\frac{2}{\sqrt{3}}\right) = \left(\frac{8}{3\sqrt{3}}\right) -...
This is negative, and at \( x = -\frac{2}{\sqrt{3}} \), it's positive....
Alternatively, use cubic formula or numerical solvers:
Using approximation or a calculator, the real roots are approximately:
One root near \( x \approx 0.542 \)
One root near \( x \approx 1.532 \)
One root near \( x \approx -2.074 \)
But since this is a math olympiad problem expecting exact form, and no...
After analyzing, the equation \( x^3 - 4x + 2 = 0 \) has **three real...

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