-4x2 +23x +6 = 0
ax2 bx c = 0
a = -4
b = 23
c = 6
Δ = b2-4ac
Δ = 23² - (4 * -4 * 6)
Δ = 529 - (4*-24)
Δ = 529 - (-96)
Δ = 625 Δ > 0
-4x2+23x+6=0
x = -b ∓ √Δ 2a
x' = -23 - √625 2*-4 = -23 - 25.0 -8 = -48.0 -8 = 6.0
x" = -23 + √625 2*-4 = -23 + 25.0 -8 = 2.0 -8 = -0.25
x' = 96.0
x" = -4.0
S = {x ∈ R / x' = 96.0, x" = -4.0 }