-12x2 -8x +15 = 0

ax2 bx c = 0

a = -12

b = -8

c = 15

Δ = b2-4ac

Δ = -8² - (4 * -12 * 15)

Δ = 64 - (4*-180)

Δ = 64 - (-720)

Δ = 784      Δ > 0

-12x2-8x+15=0

x = -b ∓ √Δ 2a

x' = 8 - √784 2*-12 = 8 - 28.0 -24 = -20.0 -24 = 0.833333333333

x" = 8 + √784 2*-12 = 8 + 28.0 -24 = 36.0 -24 = -1.5

x' = 120.0

x" = -216.0

S = {x ∈ R / x' = 120.0, x" = -216.0 }