-6x2 -17x +23 = 0

ax2 bx c = 0

a = -6

b = -17

c = 23

Δ = b2-4ac

Δ = -17² - (4 * -6 * 23)

Δ = 289 - (4*-138)

Δ = 289 - (-552)

Δ = 841      Δ > 0

-6x2-17x+23=0

x = -b ∓ √Δ 2a

x' = 17 - √841 2*-6 = 17 - 29.0 -12 = -12.0 -12 = 1.0

x" = 17 + √841 2*-6 = 17 + 29.0 -12 = 46.0 -12 = -3.83333333333

x' = 36.0

x" = -138.0

S = {x ∈ R / x' = 36.0, x" = -138.0 }