-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 = 196      Δ > 0

-4x2-10x+6=0

x = -b ∓ √Δ 2a

x' = 10 - √196 2*-4 = 10 - 14.0 -8 = -4.0 -8 = 0.5

x" = 10 + √196 2*-4 = 10 + 14.0 -8 = 24.0 -8 = -3.0

x' = 8.0

x" = -48.0

S = {x ∈ R / x' = 8.0, x" = -48.0 }