15x2 -13x -6 = 0

ax2 bx c = 0

a = 15

b = -13

c = -6

Δ = b2-4ac

Δ = -13² - (4 * 15 * -6)

Δ = 169 - (4*-90)

Δ = 169 - (-360)

Δ = 529      Δ > 0

15x2-13x-6=0

x = -b ∓ √Δ 2a

x' = 13 - √529 2*15 = 13 - 23.0 30 = -10.0 30 = -0.333333333333

x" = 13 + √529 2*15 = 13 + 23.0 30 = 36.0 30 = 1.2

x' = -75.0

x" = 270.0

S = {x ∈ R / x' = -75.0, x" = 270.0 }