-12x2 -13x +14 = 0

ax2 bx c = 0

a = -12

b = -13

c = 14

Δ = b2-4ac

Δ = -13² - (4 * -12 * 14)

Δ = 169 - (4*-168)

Δ = 169 - (-672)

Δ = 841      Δ > 0

-12x2-13x+14=0

x = -b ∓ √Δ 2a

x' = 13 - √841 2*-12 = 13 - 29.0 -24 = -16.0 -24 = 0.666666666667

x" = 13 + √841 2*-12 = 13 + 29.0 -24 = 42.0 -24 = -1.75

x' = 96.0

x" = -252.0

S = {x ∈ R / x' = 96.0, x" = -252.0 }