-4x2 +10x -6 = 0

ax2 bx c = 0

a = -4

b = 10

c = -6

Δ = b2-4ac

Δ = 10² - (4 * -4 * -6)

Δ = 100 - (4*24)

Δ = 100 - (96)

Δ = 4      Δ > 0

-4x2+10x-6=0

x = -b ∓ √Δ 2a

x' = -10 - √4 2*-4 = -10 - 2.0 -8 = -12.0 -8 = 1.5

x" = -10 + √4 2*-4 = -10 + 2.0 -8 = -8.0 -8 = 1.0

x' = 24.0

x" = 16.0

S = {x ∈ R / x' = 24.0, x" = 16.0 }