-9x2 -8x +17 = 0

ax2 bx c = 0

a = -9

b = -8

c = 17

Δ = b2-4ac

Δ = -8² - (4 * -9 * 17)

Δ = 64 - (4*-153)

Δ = 64 - (-612)

Δ = 676      Δ > 0

-9x2-8x+17=0

x = -b ∓ √Δ 2a

x' = 8 - √676 2*-9 = 8 - 26.0 -18 = -18.0 -18 = 1.0

x" = 8 + √676 2*-9 = 8 + 26.0 -18 = 34.0 -18 = -1.88888888889

x' = 81.0

x" = -153.0

S = {x ∈ R / x' = 81.0, x" = -153.0 }