-12x2 +23x -10 = 0
ax2 bx c = 0
a = -12
b = 23
c = -10
Δ = b2-4ac
Δ = 23² - (4 * -12 * -10)
Δ = 529 - (4*120)
Δ = 529 - (480)
Δ = 49 Δ > 0
-12x2+23x-10=0
x = -b ∓ √Δ 2a
x' = -23 - √49 2*-12 = -23 - 7.0 -24 = -30.0 -24 = 1.25
x" = -23 + √49 2*-12 = -23 + 7.0 -24 = -16.0 -24 = 0.666666666667
x' = 180.0
x" = 96.0
S = {x ∈ R / x' = 180.0, x" = 96.0 }