15x2 -19x -10 = 0

ax2 bx c = 0

a = 15

b = -19

c = -10

Δ = b2-4ac

Δ = -19² - (4 * 15 * -10)

Δ = 361 - (4*-150)

Δ = 361 - (-600)

Δ = 961      Δ > 0

15x2-19x-10=0

x = -b ∓ √Δ 2a

x' = 19 - √961 2*15 = 19 - 31.0 30 = -12.0 30 = -0.4

x" = 19 + √961 2*15 = 19 + 31.0 30 = 50.0 30 = 1.66666666667

x' = -90.0

x" = 375.0

S = {x ∈ R / x' = -90.0, x" = 375.0 }