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 = -40.0 36 = -1.11111111111

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

x' = -360.0

x" = 162.0

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