-12x2 +2x +10 = 0
ax2 bx c = 0
a = -12
b = 2
c = 10
Δ = b2-4ac
Δ = 2² - (4 * -12 * 10)
Δ = 4 - (4*-120)
Δ = 4 - (-480)
Δ = 484 Δ > 0
-12x2+2x+10=0
x = -b ∓ √Δ 2a
x' = -2 - √484 2*-12 = -2 - 22.0 -24 = -24.0 -24 = 1.0
x" = -2 + √484 2*-12 = -2 + 22.0 -24 = 20.0 -24 = -0.833333333333
x' = 144.0
x" = -120.0
S = {x ∈ R / x' = 144.0, x" = -120.0 }