-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 }