-18x2 +19x -5 = 0

ax2 bx c = 0

a = -18

b = 19

c = -5

Δ = b2-4ac

Δ = 19² - (4 * -18 * -5)

Δ = 361 - (4*90)

Δ = 361 - (360)

Δ = 1      Δ > 0

-18x2+19x-5=0

x = -b ∓ √Δ 2a

x' = -19 - √1 2*-18 = -19 - 1.0 -36 = -20.0 -36 = 0.555555555556

x" = -19 + √1 2*-18 = -19 + 1.0 -36 = -18.0 -36 = 0.5

x' = 180.0

x" = 162.0

S = {x ∈ R / x' = 180.0, x" = 162.0 }