-9x2 -13x +22 = 0

ax2 bx c = 0

a = -9

b = -13

c = 22

Δ = b2-4ac

Δ = -13² - (4 * -9 * 22)

Δ = 169 - (4*-198)

Δ = 169 - (-792)

Δ = 961      Δ > 0

-9x2-13x+22=0

x = -b ∓ √Δ 2a

x' = 13 - √961 2*-9 = 13 - 31.0 -18 = -18.0 -18 = 1.0

x" = 13 + √961 2*-9 = 13 + 31.0 -18 = 44.0 -18 = -2.44444444444

x' = 81.0

x" = -198.0

S = {x ∈ R / x' = 81.0, x" = -198.0 }