15x2 +4x -19 = 0

ax2 bx c = 0

a = 15

b = 4

c = -19

Δ = b2-4ac

Δ = 4² - (4 * 15 * -19)

Δ = 16 - (4*-285)

Δ = 16 - (-1140)

Δ = 1156      Δ > 0

15x2+4x-19=0

x = -b ∓ √Δ 2a

x' = -4 - √1156 2*15 = -4 - 34.0 30 = -38.0 30 = -1.26666666667

x" = -4 + √1156 2*15 = -4 + 34.0 30 = 30.0 30 = 1.0

x' = -285.0

x" = 225.0

S = {x ∈ R / x' = -285.0, x" = 225.0 }