-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 = -46.0 -12 = 3.83333333333
x" = -17 + √841 2*-6 = -17 + 29.0 -12 = 12.0 -12 = -1.0
x' = 138.0
x" = -36.0
S = {x ∈ R / x' = 138.0, x" = -36.0 }