-12x2 -11x +15 = 0

ax2 bx c = 0

a = -12

b = -11

c = 15

Δ = b2-4ac

Δ = -11² - (4 * -12 * 15)

Δ = 121 - (4*-180)

Δ = 121 - (-720)

Δ = 841      Δ > 0

-12x2-11x+15=0

x = -b ∓ √Δ 2a

x' = 11 - √841 2*-12 = 11 - 29.0 -24 = -18.0 -24 = 0.75

x" = 11 + √841 2*-12 = 11 + 29.0 -24 = 40.0 -24 = -1.66666666667

x' = 108.0

x" = -240.0

S = {x ∈ R / x' = 108.0, x" = -240.0 }