-12x2 +23x -5 = 0
ax2 bx c = 0
a = -12
b = 23
c = -5
Δ = b2-4ac
Δ = 23² - (4 * -12 * -5)
Δ = 529 - (4*60)
Δ = 529 - (240)
Δ = 289 Δ > 0
-12x2+23x-5=0
x = -b ∓ √Δ 2a
x' = -23 - √289 2*-12 = -23 - 17.0 -24 = -40.0 -24 = 1.66666666667
x" = -23 + √289 2*-12 = -23 + 17.0 -24 = -6.0 -24 = 0.25
x' = 240.0
x" = 36.0
S = {x ∈ R / x' = 240.0, x" = 36.0 }