-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 = -8.0 -8 = 1.0

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

x' = 16.0

x" = -72.0

S = {x ∈ R / x' = 16.0, x" = -72.0 }