-12x2 -5x +17 = 0
ax2 bx c = 0
a = -12
b = -5
c = 17
Δ = b2-4ac
Δ = -5² - (4 * -12 * 17)
Δ = 25 - (4*-204)
Δ = 25 - (-816)
Δ = 841 Δ > 0
-12x2-5x+17=0
x = -b ∓ √Δ 2a
x' = 5 - √841 2*-12 = 5 - 29.0 -24 = -24.0 -24 = 1.0
x" = 5 + √841 2*-12 = 5 + 29.0 -24 = 34.0 -24 = -1.41666666667
x' = 144.0
x" = -204.0
S = {x ∈ R / x' = 144.0, x" = -204.0 }