Suppose x is a real solution to x^2 - 18x - 11= 0, Show x^3 = ax+b where a,b∈Z

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Similar to 2020 CMIMC, Problem 1 Vijay Srinivasan, Easy to generalize this result for any quadratic equation with integer coefficients and a nonnegative discriminant. Quora contributor Sumit, Academic writer Brilliant Ngash and rocket scientist Jack Vogt answered a question related to this intuitive but sometimes confusing mathematical definition of non-negative which means the positive integers unioned with zero.
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