-6x2 +17x -10 = 0
ax2 bx c = 0
a = -6
b = 17
c = -10
Δ = b2-4ac
Δ = 17² - (4 * -6 * -10)
Δ = 289 - (4*60)
Δ = 289 - (240)
Δ = 49 Δ > 0
-6x2+17x-10=0
x = -b ∓ √Δ 2a
x' = -17 - √49 2*-6 = -17 - 7.0 -12 = -24.0 -12 = 2.0
x" = -17 + √49 2*-6 = -17 + 7.0 -12 = -10.0 -12 = 0.833333333333
x' = 72.0
x" = 30.0
S = {x ∈ R / x' = 72.0, x" = 30.0 }