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Actually, applying the cubic formula or checking discriminant \( \Delta = -4(-4)^3 - 27(2)^2 = 256 - 108 = 148 > 0 \), which implies **three distinct real roots**.
Thus, the equation \( x^3 - 4x + 2 = 0 \) has three real solutions, expressible in trigonometric form or as approximations.
But to give **exact real solutions**, we use:

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