-18x2 +x +4 = 0

ax2 bx c = 0

a = -18

b = 1

c = 4

Δ = b2-4ac

Δ = ² - (4 * -18 * 4)

Δ = 1 - (4*-72)

Δ = 1 - (-288)

Δ = 289      Δ > 0

-18x2+x+4=0

x = -b ∓ √Δ 2a

x' = -1 - √289 2*-18 = -1 - 17.0 -36 = -18.0 -36 = 0.5

x" = -1 + √289 2*-18 = -1 + 17.0 -36 = 16.0 -36 = -0.444444444444

x' = 162.0

x" = -144.0

S = {x ∈ R / x' = 162.0, x" = -144.0 }