-1x2 +22x +23 = 0

ax2 bx c = 0

a = -1

b = 22

c = 23

Δ = b2-4ac

Δ = 22² - (4 * -1 * 23)

Δ = 484 - (4*-23)

Δ = 484 - (-92)

Δ = 576      Δ > 0

-x2+22x+23=0

x = -b ∓ √Δ 2a

x' = -22 - √576 2*-1 = -22 - 24.0 -2 = -46.0 -2 = 23.0

x" = -22 + √576 2*-1 = -22 + 24.0 -2 = 2.0 -2 = -1.0

x' = 23.0

x" = -1.0

S = {x ∈ R / x' = 23.0, x" = -1.0 }