-6x2 +2x +8 = 0
ax2 bx c = 0
a = -6
b = 2
c = 8
Δ = b2-4ac
Δ = 2² - (4 * -6 * 8)
Δ = 4 - (4*-48)
Δ = 4 - (-192)
Δ = 196 Δ > 0
-6x2+2x+8=0
x = -b ∓ √Δ 2a
x' = -2 - √196 2*-6 = -2 - 14.0 -12 = -16.0 -12 = 1.33333333333
x" = -2 + √196 2*-6 = -2 + 14.0 -12 = 12.0 -12 = -1.0
x' = 48.0
x" = -36.0
S = {x ∈ R / x' = 48.0, x" = -36.0 }