-15x2 -3x +12 = 0

ax2 bx c = 0

a = -15

b = -3

c = 12

Δ = b2-4ac

Δ = -3² - (4 * -15 * 12)

Δ = 9 - (4*-180)

Δ = 9 - (-720)

Δ = 729      Δ > 0

-15x2-3x+12=0

x = -b ∓ √Δ 2a

x' = 3 - √729 2*-15 = 3 - 27.0 -30 = -24.0 -30 = 0.8

x" = 3 + √729 2*-15 = 3 + 27.0 -30 = 30.0 -30 = -1.0

x' = 180.0

x" = -225.0

S = {x ∈ R / x' = 180.0, x" = -225.0 }