-12x2 -17x -5 = 0

ax2 bx c = 0

a = -12

b = -17

c = -5

Δ = b2-4ac

Δ = -17² - (4 * -12 * -5)

Δ = 289 - (4*60)

Δ = 289 - (240)

Δ = 49      Δ > 0

-12x2-17x-5=0

x = -b ∓ √Δ 2a

x' = 17 - √49 2*-12 = 17 - 7.0 -24 = 10.0 -24 = -0.416666666667

x" = 17 + √49 2*-12 = 17 + 7.0 -24 = 24.0 -24 = -1.0

x' = -60.0

x" = -144.0

S = {x ∈ R / x' = -60.0, x" = -144.0 }