Completing the square calc

Completing the square calc

Input interpretation
complete the square | 28 + 10 x + x^2
Result
(x + 5)^2 + 3
Geometric figure
parabola
Polynomial discriminant
Delta = -12
Derivative
d/dx((x + 5)^2 + 3) = 2 (x + 5)
Indefinite integral
integral (3 + (5 + x)^2) dx = x^3/3 + 5 x^2 + 28 x + constant
Global minimum
min{(x + 5)^2 + 3} = 3 at x = -5

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