-12x2 +19x +10 = 0
ax2 bx c = 0
a = -12
b = 19
c = 10
Δ = b2-4ac
Δ = 19² - (4 * -12 * 10)
Δ = 361 - (4*-120)
Δ = 361 - (-480)
Δ = 841 Δ > 0
-12x2+19x+10=0
x = -b ∓ √Δ 2a
x' = -19 - √841 2*-12 = -19 - 29.0 -24 = -48.0 -24 = 2.0
x" = -19 + √841 2*-12 = -19 + 29.0 -24 = 10.0 -24 = -0.416666666667
x' = 288.0
x" = -60.0
S = {x ∈ R / x' = 288.0, x" = -60.0 }