-4x2 -11x +3 = 0
ax2 bx c = 0
a = -4
b = -11
c = 3
Δ = b2-4ac
Δ = -11² - (4 * -4 * 3)
Δ = 121 - (4*-12)
Δ = 121 - (-48)
Δ = 169 Δ > 0
-4x2-11x+3=0
x = -b ∓ √Δ 2a
x' = 11 - √169 2*-4 = 11 - 13.0 -8 = -2.0 -8 = 0.25
x" = 11 + √169 2*-4 = 11 + 13.0 -8 = 24.0 -8 = -3.0
x' = 4.0
x" = -48.0
S = {x ∈ R / x' = 4.0, x" = -48.0 }