-9x2 -16x +4 = 0

ax2 bx c = 0

a = -9

b = -16

c = 4

Δ = b2-4ac

Δ = -16² - (4 * -9 * 4)

Δ = 256 - (4*-36)

Δ = 256 - (-144)

Δ = 400      Δ > 0

-9x2-16x+4=0

x = -b ∓ √Δ 2a

x' = 16 - √400 2*-9 = 16 - 20.0 -18 = -4.0 -18 = 0.222222222222

x" = 16 + √400 2*-9 = 16 + 20.0 -18 = 36.0 -18 = -2.0

x' = 18.0

x" = -162.0

S = {x ∈ R / x' = 18.0, x" = -162.0 }