-6x2 -17x -5 = 0

ax2 bx c = 0

a = -6

b = -17

c = -5

Δ = b2-4ac

Δ = -17² - (4 * -6 * -5)

Δ = 289 - (4*30)

Δ = 289 - (120)

Δ = 169      Δ > 0

-6x2-17x-5=0

x = -b ∓ √Δ 2a

x' = 17 - √169 2*-6 = 17 - 13.0 -12 = 4.0 -12 = -0.333333333333

x" = 17 + √169 2*-6 = 17 + 13.0 -12 = 30.0 -12 = -2.5

x' = -12.0

x" = -90.0

S = {x ∈ R / x' = -12.0, x" = -90.0 }