-4x2 +14x +18 = 0

ax2 bx c = 0

a = -4

b = 14

c = 18

Δ = b2-4ac

Δ = 14² - (4 * -4 * 18)

Δ = 196 - (4*-72)

Δ = 196 - (-288)

Δ = 484      Δ > 0

-4x2+14x+18=0

x = -b ∓ √Δ 2a

x' = -14 - √484 2*-4 = -14 - 22.0 -8 = -36.0 -8 = 4.5

x" = -14 + √484 2*-4 = -14 + 22.0 -8 = 8.0 -8 = -1.0

x' = 72.0

x" = -16.0

S = {x ∈ R / x' = 72.0, x" = -16.0 }