# An algebra problem by John Paolo Bayaborda

Algebra Level pending

Let a and b be the smaller number and the larger number whose product is 1369$$\sqrt{2}$$ and has a ratio of $$\sqrt{2}$$ : 2. If $$\frac{a}{x^3}$$ + $$\frac{1}{x^2}$$ + $$\frac{1}{x}$$ + 1 = 0, find $$x^3 + x^2 + x + b$$.

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