4x^2-20x+25

4x^2-20x+25

Input
4 x^2 – 20 x + 25
Geometric figure
parabola
Root
x = 5/2
Polynomial discriminant
Delta = 0
Derivative
d/dx(4 x^2 – 20 x + 25) = 8 x – 20
Indefinite integral
integral (25 – 20 x + 4 x^2) dx = (4 x^3)/3 – 10 x^2 + 25 x + constant
Global minimum
min{4 x^2 – 20 x + 25} = 0 at x = 5/2

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