-1x2 -7x +8 = 0

ax2 bx c = 0

a = -1

b = -7

c = 8

Δ = b2-4ac

Δ = -7² - (4 * -1 * 8)

Δ = 49 - (4*-8)

Δ = 49 - (-32)

Δ = 81      Δ > 0

-x2-7x+8=0

x = -b ∓ √Δ 2a

x' = 7 - √81 2*-1 = 7 - 9.0 -2 = -2.0 -2 = 1.0

x" = 7 + √81 2*-1 = 7 + 9.0 -2 = 16.0 -2 = -8.0

x' = 1.0

x" = -8.0

S = {x ∈ R / x' = 1.0, x" = -8.0 }