15x2 -11x -12 = 0

ax2 bx c = 0

a = 15

b = -11

c = -12

Δ = b2-4ac

Δ = -11² - (4 * 15 * -12)

Δ = 121 - (4*-180)

Δ = 121 - (-720)

Δ = 841      Δ > 0

15x2-11x-12=0

x = -b ∓ √Δ 2a

x' = 11 - √841 2*15 = 11 - 29.0 30 = -18.0 30 = -0.6

x" = 11 + √841 2*15 = 11 + 29.0 30 = 40.0 30 = 1.33333333333

x' = -135.0

x" = 300.0

S = {x ∈ R / x' = -135.0, x" = 300.0 }