-4x2 +18x -14 = 0

ax2 bx c = 0

a = -4

b = 18

c = -14

Δ = b2-4ac

Δ = 18² - (4 * -4 * -14)

Δ = 324 - (4*56)

Δ = 324 - (224)

Δ = 100      Δ > 0

-4x2+18x-14=0

x = -b ∓ √Δ 2a

x' = -18 - √100 2*-4 = -18 - 10.0 -8 = -28.0 -8 = 3.5

x" = -18 + √100 2*-4 = -18 + 10.0 -8 = -8.0 -8 = 1.0

x' = 56.0

x" = 16.0

S = {x ∈ R / x' = 56.0, x" = 16.0 }