-12x2 -20x +13 = 0

ax2 bx c = 0

a = -12

b = -20

c = 13

Δ = b2-4ac

Δ = -20² - (4 * -12 * 13)

Δ = 400 - (4*-156)

Δ = 400 - (-624)

Δ = 1024      Δ > 0

-12x2-20x+13=0

x = -b ∓ √Δ 2a

x' = 20 - √1024 2*-12 = 20 - 32.0 -24 = -12.0 -24 = 0.5

x" = 20 + √1024 2*-12 = 20 + 32.0 -24 = 52.0 -24 = -2.16666666667

x' = 72.0

x" = -312.0

S = {x ∈ R / x' = 72.0, x" = -312.0 }