-9x2 -10x +19 = 0

ax2 bx c = 0

a = -9

b = -10

c = 19

Δ = b2-4ac

Δ = -10² - (4 * -9 * 19)

Δ = 100 - (4*-171)

Δ = 100 - (-684)

Δ = 784      Δ > 0

-9x2-10x+19=0

x = -b ∓ √Δ 2a

x' = 10 - √784 2*-9 = 10 - 28.0 -18 = -18.0 -18 = 1.0

x" = 10 + √784 2*-9 = 10 + 28.0 -18 = 38.0 -18 = -2.11111111111

x' = 81.0

x" = -171.0

S = {x ∈ R / x' = 81.0, x" = -171.0 }