-4x2 -6x +10 = 0

ax2 bx c = 0

a = -4

b = -6

c = 10

Δ = b2-4ac

Δ = -6² - (4 * -4 * 10)

Δ = 36 - (4*-40)

Δ = 36 - (-160)

Δ = 196      Δ > 0

-4x2-6x+10=0

x = -b ∓ √Δ 2a

x' = 6 - √196 2*-4 = 6 - 14.0 -8 = -8.0 -8 = 1.0

x" = 6 + √196 2*-4 = 6 + 14.0 -8 = 20.0 -8 = -2.5

x' = 16.0

x" = -40.0

S = {x ∈ R / x' = 16.0, x" = -40.0 }