-9x2 -13x +10 = 0

ax2 bx c = 0

a = -9

b = -13

c = 10

Δ = b2-4ac

Δ = -13² - (4 * -9 * 10)

Δ = 169 - (4*-90)

Δ = 169 - (-360)

Δ = 529      Δ > 0

-9x2-13x+10=0

x = -b ∓ √Δ 2a

x' = 13 - √529 2*-9 = 13 - 23.0 -18 = -10.0 -18 = 0.555555555556

x" = 13 + √529 2*-9 = 13 + 23.0 -18 = 36.0 -18 = -2.0

x' = 45.0

x" = -162.0

S = {x ∈ R / x' = 45.0, x" = -162.0 }