-15x2 +19x -6 = 0

ax2 bx c = 0

a = -15

b = 19

c = -6

Δ = b2-4ac

Δ = 19² - (4 * -15 * -6)

Δ = 361 - (4*90)

Δ = 361 - (360)

Δ = 1      Δ > 0

-15x2+19x-6=0

x = -b ∓ √Δ 2a

x' = -19 - √1 2*-15 = -19 - 1.0 -30 = -20.0 -30 = 0.666666666667

x" = -19 + √1 2*-15 = -19 + 1.0 -30 = -18.0 -30 = 0.6

x' = 150.0

x" = 135.0

S = {x ∈ R / x' = 150.0, x" = 135.0 }