-4x2 +x +18 = 0

ax2 bx c = 0

a = -4

b = 1

c = 18

Δ = b2-4ac

Δ = ² - (4 * -4 * 18)

Δ = 1 - (4*-72)

Δ = 1 - (-288)

Δ = 289      Δ > 0

-4x2+x+18=0

x = -b ∓ √Δ 2a

x' = -1 - √289 2*-4 = -1 - 17.0 -8 = -18.0 -8 = 2.25

x" = -1 + √289 2*-4 = -1 + 17.0 -8 = 16.0 -8 = -2.0

x' = 36.0

x" = -32.0

S = {x ∈ R / x' = 36.0, x" = -32.0 }