-12x2 +19x -5 = 0
ax2 bx c = 0
a = -12
b = 19
c = -5
Δ = b2-4ac
Δ = 19² - (4 * -12 * -5)
Δ = 361 - (4*60)
Δ = 361 - (240)
Δ = 121 Δ > 0
-12x2+19x-5=0
x = -b ∓ √Δ 2a
x' = -19 - √121 2*-12 = -19 - 11.0 -24 = -30.0 -24 = 1.25
x" = -19 + √121 2*-12 = -19 + 11.0 -24 = -8.0 -24 = 0.333333333333
x' = 180.0
x" = 48.0
S = {x ∈ R / x' = 180.0, x" = 48.0 }