-9x2 -11x +14 = 0

ax2 bx c = 0

a = -9

b = -11

c = 14

Δ = b2-4ac

Δ = -11² - (4 * -9 * 14)

Δ = 121 - (4*-126)

Δ = 121 - (-504)

Δ = 625      Δ > 0

-9x2-11x+14=0

x = -b ∓ √Δ 2a

x' = 11 - √625 2*-9 = 11 - 25.0 -18 = -14.0 -18 = 0.777777777778

x" = 11 + √625 2*-9 = 11 + 25.0 -18 = 36.0 -18 = -2.0

x' = 63.0

x" = -162.0

S = {x ∈ R / x' = 63.0, x" = -162.0 }