-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 = -34.0 -12 = 2.83333333333

x" = -11 + √529 2*-6 = -11 + 23.0 -12 = 12.0 -12 = -1.0

x' = 102.0

x" = -36.0

S = {x ∈ R / x' = 102.0, x" = -36.0 }