-1x2 +8x -7 = 0

ax2 bx c = 0

a = -1

b = 8

c = -7

Δ = b2-4ac

Δ = 8² - (4 * -1 * -7)

Δ = 64 - (4*7)

Δ = 64 - (28)

Δ = 36      Δ > 0

-x2+8x-7=0

x = -b ∓ √Δ 2a

x' = -8 - √36 2*-1 = -8 - 6.0 -2 = -14.0 -2 = 7.0

x" = -8 + √36 2*-1 = -8 + 6.0 -2 = -2.0 -2 = 1.0

x' = 7.0

x" = 1.0

S = {x ∈ R / x' = 7.0, x" = 1.0 }