-12x2 +7x +10 = 0
ax2 bx c = 0
a = -12
b = 7
c = 10
Δ = b2-4ac
Δ = 7² - (4 * -12 * 10)
Δ = 49 - (4*-120)
Δ = 49 - (-480)
Δ = 529 Δ > 0
-12x2+7x+10=0
x = -b ∓ √Δ 2a
x' = -7 - √529 2*-12 = -7 - 23.0 -24 = -30.0 -24 = 1.25
x" = -7 + √529 2*-12 = -7 + 23.0 -24 = 16.0 -24 = -0.666666666667
x' = 180.0
x" = -96.0
S = {x ∈ R / x' = 180.0, x" = -96.0 }