Saisir ici les paramètres pour la forme développée
d'une fonction de degré 2 : 

a = -0.3 (slider from -5 to 5, step 0.1)
b = -0.5 (slider from -5 to 5, step 0.1)
c = 1.7 (slider from -5 to 5, step 0.1)
f_{dev}(x) = (a * x^(2)) + (b * x) + c
f_{fact} = Factor(f_{dev})
f_{can}(x) = (a * (x + b / ((2 * a)))^(2)) + ((-b^(2)) + ((4 * a) * c)) / ((4 * a))
S = Extremum(f_{can})
texte1: "f_{dév}(x)=" + (LaTeX[a]) + "x^2+" + (LaTeX[b]) + "x+" + (LaTeX[c]) + ""
d: x = ((-b)) / ((2 * a))
x_a: ((-b)) / ((2 * a))
ac: (a * c)
delta: b^(2) - (4 * ac)
y_a: ((-delta)) / ((4 * a))
texte3: "f_{can}(x)=" + (LaTeX[a]) + "( x+" + (LaTeX[x_a]) + ")^2+" + (LaTeX[y_a]) + ""
x_1: ((-b) + sqrt(delta)) / ((2 * a))
x_2: ((-b) - sqrt(delta)) / ((2 * a))
texte5: "f_{fact}(x)=" + (LaTeX[a]) + " ( x+x_1" + (LaTeX[x_1]) + ")(x-x_2" + (LaTeX[x_2]) + ") "
texte4: "x=" + x_a + ""