-18x2 -11x +10 = 0

ax2 bx c = 0

a = -18

b = -11

c = 10

Δ = b2-4ac

Δ = -11² - (4 * -18 * 10)

Δ = 121 - (4*-180)

Δ = 121 - (-720)

Δ = 841      Δ > 0

-18x2-11x+10=0

x = -b ∓ √Δ 2a

x' = 11 - √841 2*-18 = 11 - 29.0 -36 = -18.0 -36 = 0.5

x" = 11 + √841 2*-18 = 11 + 29.0 -36 = 40.0 -36 = -1.11111111111

x' = 162.0

x" = -360.0

S = {x ∈ R / x' = 162.0, x" = -360.0 }