-12x2 +15x -3 = 0

ax2 bx c = 0

a = -12

b = 15

c = -3

Δ = b2-4ac

Δ = 15² - (4 * -12 * -3)

Δ = 225 - (4*36)

Δ = 225 - (144)

Δ = 81      Δ > 0

-12x2+15x-3=0

x = -b ∓ √Δ 2a

x' = -15 - √81 2*-12 = -15 - 9.0 -24 = -24.0 -24 = 1.0

x" = -15 + √81 2*-12 = -15 + 9.0 -24 = -6.0 -24 = 0.25

x' = 144.0

x" = 36.0

S = {x ∈ R / x' = 144.0, x" = 36.0 }