-12x2 -10x +22 = 0
ax2 bx c = 0
a = -12
b = -10
c = 22
Δ = b2-4ac
Δ = -10² - (4 * -12 * 22)
Δ = 100 - (4*-264)
Δ = 100 - (-1056)
Δ = 1156 Δ > 0
-12x2-10x+22=0
x = -b ∓ √Δ 2a
x' = 10 - √1156 2*-12 = 10 - 34.0 -24 = -24.0 -24 = 1.0
x" = 10 + √1156 2*-12 = 10 + 34.0 -24 = 44.0 -24 = -1.83333333333
x' = 144.0
x" = -264.0
S = {x ∈ R / x' = 144.0, x" = -264.0 }