-9x2 -10x +16 = 0

ax2 bx c = 0

a = -9

b = -10

c = 16

Δ = b2-4ac

Δ = -10² - (4 * -9 * 16)

Δ = 100 - (4*-144)

Δ = 100 - (-576)

Δ = 676      Δ > 0

-9x2-10x+16=0

x = -b ∓ √Δ 2a

x' = 10 - √676 2*-9 = 10 - 26.0 -18 = -16.0 -18 = 0.888888888889

x" = 10 + √676 2*-9 = 10 + 26.0 -18 = 36.0 -18 = -2.0

x' = 72.0

x" = -162.0

S = {x ∈ R / x' = 72.0, x" = -162.0 }