-9x2 +23x -14 = 0

ax2 bx c = 0

a = -9

b = 23

c = -14

Δ = b2-4ac

Δ = 23² - (4 * -9 * -14)

Δ = 529 - (4*126)

Δ = 529 - (504)

Δ = 25      Δ > 0

-9x2+23x-14=0

x = -b ∓ √Δ 2a

x' = -23 - √25 2*-9 = -23 - 5.0 -18 = -28.0 -18 = 1.55555555556

x" = -23 + √25 2*-9 = -23 + 5.0 -18 = -18.0 -18 = 1.0

x' = 126.0

x" = 81.0

S = {x ∈ R / x' = 126.0, x" = 81.0 }