-1x2 +9x +10 = 0

ax2 bx c = 0

a = -1

b = 9

c = 10

Δ = b2-4ac

Δ = 9² - (4 * -1 * 10)

Δ = 81 - (4*-10)

Δ = 81 - (-40)

Δ = 121      Δ > 0

-x2+9x+10=0

x = -b ∓ √Δ 2a

x' = -9 - √121 2*-1 = -9 - 11.0 -2 = -20.0 -2 = 10.0

x" = -9 + √121 2*-1 = -9 + 11.0 -2 = 2.0 -2 = -1.0

x' = 10.0

x" = -1.0

S = {x ∈ R / x' = 10.0, x" = -1.0 }