-4x2 +22x +12 = 0
ax2 bx c = 0
a = -4
b = 22
c = 12
Δ = b2-4ac
Δ = 22² - (4 * -4 * 12)
Δ = 484 - (4*-48)
Δ = 484 - (-192)
Δ = 676 Δ > 0
-4x2+22x+12=0
x = -b ∓ √Δ 2a
x' = -22 - √676 2*-4 = -22 - 26.0 -8 = -48.0 -8 = 6.0
x" = -22 + √676 2*-4 = -22 + 26.0 -8 = 4.0 -8 = -0.5
x' = 96.0
x" = -8.0
S = {x ∈ R / x' = 96.0, x" = -8.0 }