-1x2 +17x -16 = 0

ax2 bx c = 0

a = -1

b = 17

c = -16

Δ = b2-4ac

Δ = 17² - (4 * -1 * -16)

Δ = 289 - (4*16)

Δ = 289 - (64)

Δ = 225      Δ > 0

-x2+17x-16=0

x = -b ∓ √Δ 2a

x' = -17 - √225 2*-1 = -17 - 15.0 -2 = -32.0 -2 = 16.0

x" = -17 + √225 2*-1 = -17 + 15.0 -2 = -2.0 -2 = 1.0

x' = 16.0

x" = 1.0

S = {x ∈ R / x' = 16.0, x" = 1.0 }