-12x2 -19x +10 = 0

ax2 bx c = 0

a = -12

b = -19

c = 10

Δ = b2-4ac

Δ = -19² - (4 * -12 * 10)

Δ = 361 - (4*-120)

Δ = 361 - (-480)

Δ = 841      Δ > 0

-12x2-19x+10=0

x = -b ∓ √Δ 2a

x' = 19 - √841 2*-12 = 19 - 29.0 -24 = -10.0 -24 = 0.416666666667

x" = 19 + √841 2*-12 = 19 + 29.0 -24 = 48.0 -24 = -2.0

x' = 60.0

x" = -288.0

S = {x ∈ R / x' = 60.0, x" = -288.0 }