-6x2 +23x -17 = 0

ax2 bx c = 0

a = -6

b = 23

c = -17

Δ = b2-4ac

Δ = 23² - (4 * -6 * -17)

Δ = 529 - (4*102)

Δ = 529 - (408)

Δ = 121      Δ > 0

-6x2+23x-17=0

x = -b ∓ √Δ 2a

x' = -23 - √121 2*-6 = -23 - 11.0 -12 = -34.0 -12 = 2.83333333333

x" = -23 + √121 2*-6 = -23 + 11.0 -12 = -12.0 -12 = 1.0

x' = 102.0

x" = 36.0

S = {x ∈ R / x' = 102.0, x" = 36.0 }