-4x2 +12x +16 = 0
ax2 bx c = 0
a = -4
b = 12
c = 16
Δ = b2-4ac
Δ = 12² - (4 * -4 * 16)
Δ = 144 - (4*-64)
Δ = 144 - (-256)
Δ = 400 Δ > 0
-4x2+12x+16=0
x = -b ∓ √Δ 2a
x' = -12 - √400 2*-4 = -12 - 20.0 -8 = -32.0 -8 = 4.0
x" = -12 + √400 2*-4 = -12 + 20.0 -8 = 8.0 -8 = -1.0
x' = 64.0
x" = -16.0
S = {x ∈ R / x' = 64.0, x" = -16.0 }