-12x2 +14x +10 = 0

ax2 bx c = 0

a = -12

b = 14

c = 10

Δ = b2-4ac

Δ = 14² - (4 * -12 * 10)

Δ = 196 - (4*-120)

Δ = 196 - (-480)

Δ = 676      Δ > 0

-12x2+14x+10=0

x = -b ∓ √Δ 2a

x' = -14 - √676 2*-12 = -14 - 26.0 -24 = -40.0 -24 = 1.66666666667

x" = -14 + √676 2*-12 = -14 + 26.0 -24 = 12.0 -24 = -0.5

x' = 240.0

x" = -72.0

S = {x ∈ R / x' = 240.0, x" = -72.0 }