-6x2 +23x -10 = 0

ax2 bx c = 0

a = -6

b = 23

c = -10

Δ = b2-4ac

Δ = 23² - (4 * -6 * -10)

Δ = 529 - (4*60)

Δ = 529 - (240)

Δ = 289      Δ > 0

-6x2+23x-10=0

x = -b ∓ √Δ 2a

x' = -23 - √289 2*-6 = -23 - 17.0 -12 = -40.0 -12 = 3.33333333333

x" = -23 + √289 2*-6 = -23 + 17.0 -12 = -6.0 -12 = 0.5

x' = 120.0

x" = 18.0

S = {x ∈ R / x' = 120.0, x" = 18.0 }