-9x2 +x +10 = 0

ax2 bx c = 0

a = -9

b = 1

c = 10

Δ = b2-4ac

Δ = ² - (4 * -9 * 10)

Δ = 1 - (4*-90)

Δ = 1 - (-360)

Δ = 361      Δ > 0

-9x2+x+10=0

x = -b ∓ √Δ 2a

x' = -1 - √361 2*-9 = -1 - 19.0 -18 = -20.0 -18 = 1.11111111111

x" = -1 + √361 2*-9 = -1 + 19.0 -18 = 18.0 -18 = -1.0

x' = 90.0

x" = -81.0

S = {x ∈ R / x' = 90.0, x" = -81.0 }