5x2 -x -18 = 0

ax2 bx c = 0

a = 5

b = -1

c = -18

Δ = b2-4ac

Δ = -² - (4 * 5 * -18)

Δ = 1 - (4*-90)

Δ = 1 - (-360)

Δ = 361      Δ > 0

5x2-x-18=0

x = -b ∓ √Δ 2a

x' = 1 - √361 2*5 = 1 - 19.0 10 = -18.0 10 = -1.8

x" = 1 + √361 2*5 = 1 + 19.0 10 = 20.0 10 = 2.0

x' = -45.0

x" = 50.0

S = {x ∈ R / x' = -45.0, x" = 50.0 }