-12x2 -17x +14 = 0

ax2 bx c = 0

a = -12

b = -17

c = 14

Δ = b2-4ac

Δ = -17² - (4 * -12 * 14)

Δ = 289 - (4*-168)

Δ = 289 - (-672)

Δ = 961      Δ > 0

-12x2-17x+14=0

x = -b ∓ √Δ 2a

x' = 17 - √961 2*-12 = 17 - 31.0 -24 = -14.0 -24 = 0.583333333333

x" = 17 + √961 2*-12 = 17 + 31.0 -24 = 48.0 -24 = -2.0

x' = 84.0

x" = -288.0

S = {x ∈ R / x' = 84.0, x" = -288.0 }