find the minimum of polynomial.

To find the minimum of polynomial a*R^2+b*R+c=0.

I want to minimize the f(R,a)=0.

Give the command for minimizing f(R,a)=0.

Thanks in advance.

Answer 1

[Sam Chak]

For a two-degree polynomial (quadratic) in the form of "y = ax^2 + bx + c", the formula to find the minimum value is: min = c - (b^2 / 4a).

Do you want to test special tools or functions for this specific problem?

[Torsten]

... assuming a > 0.

Answer 2

[Walter Roberson]

syms a b c R
f = a*R^2+b*R+c

f = 

critical_points = solve(diff(f, R), R)

critical_points = 

value_at_critical_points = subs(f, R, critical_points)

value_at_critical_points =