18x2 +10x -8 = 0

ax2 bx c = 0

a = 18

b = 10

c = -8

Δ = b2-4ac

Δ = 10² - (4 * 18 * -8)

Δ = 100 - (4*-144)

Δ = 100 - (-576)

Δ = 676      Δ > 0

18x2+10x-8=0

x = -b ∓ √Δ 2a

x' = -10 - √676 2*18 = -10 - 26.0 36 = -36.0 36 = -1.0

x" = -10 + √676 2*18 = -10 + 26.0 36 = 16.0 36 = 0.444444444444

x' = -324.0

x" = 144.0

S = {x ∈ R / x' = -324.0, x" = 144.0 }