-9x2 -14x +23 = 0

ax2 bx c = 0

a = -9

b = -14

c = 23

Δ = b2-4ac

Δ = -14² - (4 * -9 * 23)

Δ = 196 - (4*-207)

Δ = 196 - (-828)

Δ = 1024      Δ > 0

-9x2-14x+23=0

x = -b ∓ √Δ 2a

x' = 14 - √1024 2*-9 = 14 - 32.0 -18 = -18.0 -18 = 1.0

x" = 14 + √1024 2*-9 = 14 + 32.0 -18 = 46.0 -18 = -2.55555555556

x' = 81.0

x" = -207.0

S = {x ∈ R / x' = 81.0, x" = -207.0 }