-6x2 +19x -10 = 0

ax2 bx c = 0

a = -6

b = 19

c = -10

Δ = b2-4ac

Δ = 19² - (4 * -6 * -10)

Δ = 361 - (4*60)

Δ = 361 - (240)

Δ = 121      Δ > 0

-6x2+19x-10=0

x = -b ∓ √Δ 2a

x' = -19 - √121 2*-6 = -19 - 11.0 -12 = -30.0 -12 = 2.5

x" = -19 + √121 2*-6 = -19 + 11.0 -12 = -8.0 -12 = 0.666666666667

x' = 90.0

x" = 24.0

S = {x ∈ R / x' = 90.0, x" = 24.0 }