-4x2 +6x +10 = 0
ax2 bx c = 0
a = -4
b = 6
c = 10
Δ = b2-4ac
Δ = 6² - (4 * -4 * 10)
Δ = 36 - (4*-40)
Δ = 36 - (-160)
Δ = 196 Δ > 0
-4x2+6x+10=0
x = -b ∓ √Δ 2a
x' = -6 - √196 2*-4 = -6 - 14.0 -8 = -20.0 -8 = 2.5
x" = -6 + √196 2*-4 = -6 + 14.0 -8 = 8.0 -8 = -1.0
x' = 40.0
x" = -16.0
S = {x ∈ R / x' = 40.0, x" = -16.0 }