-4x2 -3x +1 = 0

ax2 bx c = 0

a = -4

b = -3

c = 1

Δ = b2-4ac

Δ = -3² - (4 * -4 * 1)

Δ = 9 - (4*-4)

Δ = 9 - (-16)

Δ = 25      Δ > 0

-4x2-3x+1=0

x = -b ∓ √Δ 2a

x' = 3 - √25 2*-4 = 3 - 5.0 -8 = -2.0 -8 = 0.25

x" = 3 + √25 2*-4 = 3 + 5.0 -8 = 8.0 -8 = -1.0

x' = 4.0

x" = -16.0

S = {x ∈ R / x' = 4.0, x" = -16.0 }