-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 = -8.0 -8 = 1.0

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

x' = 16.0

x" = -4.0

S = {x ∈ R / x' = 16.0, x" = -4.0 }