-12x2 -13x +22 = 0

ax2 bx c = 0

a = -12

b = -13

c = 22

Δ = b2-4ac

Δ = -13² - (4 * -12 * 22)

Δ = 169 - (4*-264)

Δ = 169 - (-1056)

Δ = 1225      Δ > 0

-12x2-13x+22=0

x = -b ∓ √Δ 2a

x' = 13 - √1225 2*-12 = 13 - 35.0 -24 = -22.0 -24 = 0.916666666667

x" = 13 + √1225 2*-12 = 13 + 35.0 -24 = 48.0 -24 = -2.0

x' = 132.0

x" = -288.0

S = {x ∈ R / x' = 132.0, x" = -288.0 }