-15x2 -9x +6 = 0

ax2 bx c = 0

a = -15

b = -9

c = 6

Δ = b2-4ac

Δ = -9² - (4 * -15 * 6)

Δ = 81 - (4*-90)

Δ = 81 - (-360)

Δ = 441      Δ > 0

-15x2-9x+6=0

x = -b ∓ √Δ 2a

x' = 9 - √441 2*-15 = 9 - 21.0 -30 = -12.0 -30 = 0.4

x" = 9 + √441 2*-15 = 9 + 21.0 -30 = 30.0 -30 = -1.0

x' = 90.0

x" = -225.0

S = {x ∈ R / x' = 90.0, x" = -225.0 }