-12x2 -10x +2 = 0

ax2 bx c = 0

a = -12

b = -10

c = 2

Δ = b2-4ac

Δ = -10² - (4 * -12 * 2)

Δ = 100 - (4*-24)

Δ = 100 - (-96)

Δ = 196      Δ > 0

-12x2-10x+2=0

x = -b ∓ √Δ 2a

x' = 10 - √196 2*-12 = 10 - 14.0 -24 = -4.0 -24 = 0.166666666667

x" = 10 + √196 2*-12 = 10 + 14.0 -24 = 24.0 -24 = -1.0

x' = 24.0

x" = -144.0

S = {x ∈ R / x' = 24.0, x" = -144.0 }