-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 = -40.0 -24 = 1.66666666667

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

x' = 240.0

x" = -108.0

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