-1x2 +16x +17 = 0

ax2 bx c = 0

a = -1

b = 16

c = 17

Δ = b2-4ac

Δ = 16² - (4 * -1 * 17)

Δ = 256 - (4*-17)

Δ = 256 - (-68)

Δ = 324      Δ > 0

-x2+16x+17=0

x = -b ∓ √Δ 2a

x' = -16 - √324 2*-1 = -16 - 18.0 -2 = -34.0 -2 = 17.0

x" = -16 + √324 2*-1 = -16 + 18.0 -2 = 2.0 -2 = -1.0

x' = 17.0

x" = -1.0

S = {x ∈ R / x' = 17.0, x" = -1.0 }