-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 = 529      Δ > 0

-12x2-17x+5=0

x = -b ∓ √Δ 2a

x' = 17 - √529 2*-12 = 17 - 23.0 -24 = -6.0 -24 = 0.25

x" = 17 + √529 2*-12 = 17 + 23.0 -24 = 40.0 -24 = -1.66666666667

x' = 36.0

x" = -240.0

S = {x ∈ R / x' = 36.0, x" = -240.0 }