-6x2 +20x +16 = 0
ax2 bx c = 0
a = -6
b = 20
c = 16
Δ = b2-4ac
Δ = 20² - (4 * -6 * 16)
Δ = 400 - (4*-96)
Δ = 400 - (-384)
Δ = 784 Δ > 0
-6x2+20x+16=0
x = -b ∓ √Δ 2a
x' = -20 - √784 2*-6 = -20 - 28.0 -12 = -48.0 -12 = 4.0
x" = -20 + √784 2*-6 = -20 + 28.0 -12 = 8.0 -12 = -0.666666666667
x' = 144.0
x" = -24.0
S = {x ∈ R / x' = 144.0, x" = -24.0 }