-18x2 -7x +8 = 0

ax2 bx c = 0

a = -18

b = -7

c = 8

Δ = b2-4ac

Δ = -7² - (4 * -18 * 8)

Δ = 49 - (4*-144)

Δ = 49 - (-576)

Δ = 625      Δ > 0

-18x2-7x+8=0

x = -b ∓ √Δ 2a

x' = 7 - √625 2*-18 = 7 - 25.0 -36 = -18.0 -36 = 0.5

x" = 7 + √625 2*-18 = 7 + 25.0 -36 = 32.0 -36 = -0.888888888889

x' = 162.0

x" = -288.0

S = {x ∈ R / x' = 162.0, x" = -288.0 }