-6x2 -11x +17 = 0
ax2 bx c = 0
a = -6
b = -11
c = 17
Δ = b2-4ac
Δ = -11² - (4 * -6 * 17)
Δ = 121 - (4*-102)
Δ = 121 - (-408)
Δ = 529 Δ > 0
-6x2-11x+17=0
x = -b ∓ √Δ 2a
x' = 11 - √529 2*-6 = 11 - 23.0 -12 = -12.0 -12 = 1.0
x" = 11 + √529 2*-6 = 11 + 23.0 -12 = 34.0 -12 = -2.83333333333
x' = 36.0
x" = -102.0
S = {x ∈ R / x' = 36.0, x" = -102.0 }