-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 = -10.0 -12 = 0.833333333333

x" = 7 + √289 2*-6 = 7 + 17.0 -12 = 24.0 -12 = -2.0

x' = 30.0

x" = -72.0

S = {x ∈ R / x' = 30.0, x" = -72.0 }