-9x2 +2x +7 = 0

ax2 bx c = 0

a = -9

b = 2

c = 7

Δ = b2-4ac

Δ = 2² - (4 * -9 * 7)

Δ = 4 - (4*-63)

Δ = 4 - (-252)

Δ = 256      Δ > 0

-9x2+2x+7=0

x = -b ∓ √Δ 2a

x' = -2 - √256 2*-9 = -2 - 16.0 -18 = -18.0 -18 = 1.0

x" = -2 + √256 2*-9 = -2 + 16.0 -18 = 14.0 -18 = -0.777777777778

x' = 81.0

x" = -63.0

S = {x ∈ R / x' = 81.0, x" = -63.0 }