-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 = -36.0 -30 = 1.2

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

x' = 270.0

x" = -75.0

S = {x ∈ R / x' = 270.0, x" = -75.0 }