-9x2 -7x +2 = 0

ax2 bx c = 0

a = -9

b = -7

c = 2

Δ = b2-4ac

Δ = -7² - (4 * -9 * 2)

Δ = 49 - (4*-18)

Δ = 49 - (-72)

Δ = 121      Δ > 0

-9x2-7x+2=0

x = -b ∓ √Δ 2a

x' = 7 - √121 2*-9 = 7 - 11.0 -18 = -4.0 -18 = 0.222222222222

x" = 7 + √121 2*-9 = 7 + 11.0 -18 = 18.0 -18 = -1.0

x' = 18.0

x" = -81.0

S = {x ∈ R / x' = 18.0, x" = -81.0 }