-9x2 +19x -10 = 0

ax2 bx c = 0

a = -9

b = 19

c = -10

Δ = b2-4ac

Δ = 19² - (4 * -9 * -10)

Δ = 361 - (4*90)

Δ = 361 - (360)

Δ = 1      Δ > 0

-9x2+19x-10=0

x = -b ∓ √Δ 2a

x' = -19 - √1 2*-9 = -19 - 1.0 -18 = -20.0 -18 = 1.11111111111

x" = -19 + √1 2*-9 = -19 + 1.0 -18 = -18.0 -18 = 1.0

x' = 90.0

x" = 81.0

S = {x ∈ R / x' = 90.0, x" = 81.0 }