Let f(x) = x2 + ax + b and g(x) = f(x + 1) - f(x - 1). If f(x) &ge; 0 for all real x, and g(20) = 72, then the smallest possible value of b is

8 months ago

Let f(x) = x² + ax + b and g(x) = f(x + 1) - f(x - 1). If f(x) ≥ 0 for all real x, and g(20) = 72, then the smallest possible value of b is

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