-12x2 +23x +2 = 0
ax2 bx c = 0
a = -12
b = 23
c = 2
Δ = b2-4ac
Δ = 23² - (4 * -12 * 2)
Δ = 529 - (4*-24)
Δ = 529 - (-96)
Δ = 625 Δ > 0
-12x2+23x+2=0
x = -b ∓ √Δ 2a
x' = -23 - √625 2*-12 = -23 - 25.0 -24 = -48.0 -24 = 2.0
x" = -23 + √625 2*-12 = -23 + 25.0 -24 = 2.0 -24 = -0.0833333333333
x' = 288.0
x" = -12.0
S = {x ∈ R / x' = 288.0, x" = -12.0 }