-8x2 +7x +18 = 0

ax2 bx c = 0

a = -8

b = 7

c = 18

Δ = b2-4ac

Δ = 7² - (4 * -8 * 18)

Δ = 49 - (4*-144)

Δ = 49 - (-576)

Δ = 625      Δ > 0

-8x2+7x+18=0

x = -b ∓ √Δ 2a

x' = -7 - √625 2*-8 = -7 - 25.0 -16 = -32.0 -16 = 2.0

x" = -7 + √625 2*-8 = -7 + 25.0 -16 = 18.0 -16 = -1.125

x' = 128.0

x" = -72.0

S = {x ∈ R / x' = 128.0, x" = -72.0 }