-4x2 +4x +3 = 0

ax2 bx c = 0

a = -4

b = 4

c = 3

Δ = b2-4ac

Δ = 4² - (4 * -4 * 3)

Δ = 16 - (4*-12)

Δ = 16 - (-48)

Δ = 64      Δ > 0

-4x2+4x+3=0

x = -b ∓ √Δ 2a

x' = -4 - √64 2*-4 = -4 - 8.0 -8 = -12.0 -8 = 1.5

x" = -4 + √64 2*-4 = -4 + 8.0 -8 = 4.0 -8 = -0.5

x' = 24.0

x" = -8.0

S = {x ∈ R / x' = 24.0, x" = -8.0 }