-4x2 +10x +6 = 0
ax2 bx c = 0
a = -4
b = 10
c = 6
Δ = b2-4ac
Δ = 10² - (4 * -4 * 6)
Δ = 100 - (4*-24)
Δ = 100 - (-96)
Δ = 196 Δ > 0
-4x2+10x+6=0
x = -b ∓ √Δ 2a
x' = -10 - √196 2*-4 = -10 - 14.0 -8 = -24.0 -8 = 3.0
x" = -10 + √196 2*-4 = -10 + 14.0 -8 = 4.0 -8 = -0.5
x' = 48.0
x" = -8.0
S = {x ∈ R / x' = 48.0, x" = -8.0 }