-9x2 +16x -7 = 0

ax2 bx c = 0

a = -9

b = 16

c = -7

Δ = b2-4ac

Δ = 16² - (4 * -9 * -7)

Δ = 256 - (4*63)

Δ = 256 - (252)

Δ = 4      Δ > 0

-9x2+16x-7=0

x = -b ∓ √Δ 2a

x' = -16 - √4 2*-9 = -16 - 2.0 -18 = -18.0 -18 = 1.0

x" = -16 + √4 2*-9 = -16 + 2.0 -18 = -14.0 -18 = 0.777777777778

x' = 81.0

x" = 63.0

S = {x ∈ R / x' = 81.0, x" = 63.0 }