-1x2 -8x +20 = 0

ax2 bx c = 0

a = -1

b = -8

c = 20

Δ = b2-4ac

Δ = -8² - (4 * -1 * 20)

Δ = 64 - (4*-20)

Δ = 64 - (-80)

Δ = 144      Δ > 0

-x2-8x+20=0

x = -b ∓ √Δ 2a

x' = 8 - √144 2*-1 = 8 - 12.0 -2 = -4.0 -2 = 2.0

x" = 8 + √144 2*-1 = 8 + 12.0 -2 = 20.0 -2 = -10.0

x' = 2.0

x" = -10.0

S = {x ∈ R / x' = 2.0, x" = -10.0 }