-4x2 +22x -18 = 0

ax2 bx c = 0

a = -4

b = 22

c = -18

Δ = b2-4ac

Δ = 22² - (4 * -4 * -18)

Δ = 484 - (4*72)

Δ = 484 - (288)

Δ = 196      Δ > 0

-4x2+22x-18=0

x = -b ∓ √Δ 2a

x' = -22 - √196 2*-4 = -22 - 14.0 -8 = -36.0 -8 = 4.5

x" = -22 + √196 2*-4 = -22 + 14.0 -8 = -8.0 -8 = 1.0

x' = 72.0

x" = 16.0

S = {x ∈ R / x' = 72.0, x" = 16.0 }