-1x2 -17x +18 = 0

ax2 bx c = 0

a = -1

b = -17

c = 18

Δ = b2-4ac

Δ = -17² - (4 * -1 * 18)

Δ = 289 - (4*-18)

Δ = 289 - (-72)

Δ = 361      Δ > 0

-x2-17x+18=0

x = -b ∓ √Δ 2a

x' = 17 - √361 2*-1 = 17 - 19.0 -2 = -2.0 -2 = 1.0

x" = 17 + √361 2*-1 = 17 + 19.0 -2 = 36.0 -2 = -18.0

x' = 1.0

x" = -18.0

S = {x ∈ R / x' = 1.0, x" = -18.0 }