-15x2 +13x -2 = 0

ax2 bx c = 0

a = -15

b = 13

c = -2

Δ = b2-4ac

Δ = 13² - (4 * -15 * -2)

Δ = 169 - (4*30)

Δ = 169 - (120)

Δ = 49      Δ > 0

-15x2+13x-2=0

x = -b ∓ √Δ 2a

x' = -13 - √49 2*-15 = -13 - 7.0 -30 = -20.0 -30 = 0.666666666667

x" = -13 + √49 2*-15 = -13 + 7.0 -30 = -6.0 -30 = 0.2

x' = 150.0

x" = 45.0

S = {x ∈ R / x' = 150.0, x" = 45.0 }