-12x2 +10x +22 = 0

ax2 bx c = 0

a = -12

b = 10

c = 22

Δ = b2-4ac

Δ = 10² - (4 * -12 * 22)

Δ = 100 - (4*-264)

Δ = 100 - (-1056)

Δ = 1156      Δ > 0

-12x2+10x+22=0

x = -b ∓ √Δ 2a

x' = -10 - √1156 2*-12 = -10 - 34.0 -24 = -44.0 -24 = 1.83333333333

x" = -10 + √1156 2*-12 = -10 + 34.0 -24 = 24.0 -24 = -1.0

x' = 264.0

x" = -144.0

S = {x ∈ R / x' = 264.0, x" = -144.0 }