-1x2 +9x -8 = 0

ax2 bx c = 0

a = -1

b = 9

c = -8

Δ = b2-4ac

Δ = 9² - (4 * -1 * -8)

Δ = 81 - (4*8)

Δ = 81 - (32)

Δ = 49      Δ > 0

-x2+9x-8=0

x = -b ∓ √Δ 2a

x' = -9 - √49 2*-1 = -9 - 7.0 -2 = -16.0 -2 = 8.0

x" = -9 + √49 2*-1 = -9 + 7.0 -2 = -2.0 -2 = 1.0

x' = 8.0

x" = 1.0

S = {x ∈ R / x' = 8.0, x" = 1.0 }