-12x2 +5x +17 = 0

ax2 bx c = 0

a = -12

b = 5

c = 17

Δ = b2-4ac

Δ = 5² - (4 * -12 * 17)

Δ = 25 - (4*-204)

Δ = 25 - (-816)

Δ = 841      Δ > 0

-12x2+5x+17=0

x = -b ∓ √Δ 2a

x' = -5 - √841 2*-12 = -5 - 29.0 -24 = -34.0 -24 = 1.41666666667

x" = -5 + √841 2*-12 = -5 + 29.0 -24 = 24.0 -24 = -1.0

x' = 204.0

x" = -144.0

S = {x ∈ R / x' = 204.0, x" = -144.0 }