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 = -50.0 30 = -1.66666666667

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

x' = -375.0

x" = 90.0

S = {x ∈ R / x' = -375.0, x" = 90.0 }