-4x2 +22x -10 = 0
ax2 bx c = 0
a = -4
b = 22
c = -10
Δ = b2-4ac
Δ = 22² - (4 * -4 * -10)
Δ = 484 - (4*40)
Δ = 484 - (160)
Δ = 324 Δ > 0
-4x2+22x-10=0
x = -b ∓ √Δ 2a
x' = -22 - √324 2*-4 = -22 - 18.0 -8 = -40.0 -8 = 5.0
x" = -22 + √324 2*-4 = -22 + 18.0 -8 = -4.0 -8 = 0.5
x' = 80.0
x" = 8.0
S = {x ∈ R / x' = 80.0, x" = 8.0 }