-1x2 -9x +22 = 0

ax2 bx c = 0

a = -1

b = -9

c = 22

Δ = b2-4ac

Δ = -9² - (4 * -1 * 22)

Δ = 81 - (4*-22)

Δ = 81 - (-88)

Δ = 169      Δ > 0

-x2-9x+22=0

x = -b ∓ √Δ 2a

x' = 9 - √169 2*-1 = 9 - 13.0 -2 = -4.0 -2 = 2.0

x" = 9 + √169 2*-1 = 9 + 13.0 -2 = 22.0 -2 = -11.0

x' = 2.0

x" = -11.0

S = {x ∈ R / x' = 2.0, x" = -11.0 }