-6x2 +7x +10 = 0
ax2 bx c = 0
a = -6
b = 7
c = 10
Δ = b2-4ac
Δ = 7² - (4 * -6 * 10)
Δ = 49 - (4*-60)
Δ = 49 - (-240)
Δ = 289 Δ > 0
-6x2+7x+10=0
x = -b ∓ √Δ 2a
x' = -7 - √289 2*-6 = -7 - 17.0 -12 = -24.0 -12 = 2.0
x" = -7 + √289 2*-6 = -7 + 17.0 -12 = 10.0 -12 = -0.833333333333
x' = 72.0
x" = -30.0
S = {x ∈ R / x' = 72.0, x" = -30.0 }