-9x2 -14x +8 = 0

ax2 bx c = 0

a = -9

b = -14

c = 8

Δ = b2-4ac

Δ = -14² - (4 * -9 * 8)

Δ = 196 - (4*-72)

Δ = 196 - (-288)

Δ = 484      Δ > 0

-9x2-14x+8=0

x = -b ∓ √Δ 2a

x' = 14 - √484 2*-9 = 14 - 22.0 -18 = -8.0 -18 = 0.444444444444

x" = 14 + √484 2*-9 = 14 + 22.0 -18 = 36.0 -18 = -2.0

x' = 36.0

x" = -162.0

S = {x ∈ R / x' = 36.0, x" = -162.0 }