5x2 -16x +3 = 0
ax2 bx c = 0
a = 5
b = -16
c = 3
Δ = b2-4ac
Δ = -16² - (4 * 5 * 3)
Δ = 256 - (4*15)
Δ = 256 - (60)
Δ = 196 Δ > 0
5x2-16x+3=0
x = -b ∓ √Δ 2a
x' = 16 - √196 2*5 = 16 - 14.0 10 = 2.0 10 = 0.2
x" = 16 + √196 2*5 = 16 + 14.0 10 = 30.0 10 = 3.0
x' = 5.0
x" = 75.0
S = {x ∈ R / x' = 5.0, x" = 75.0 }