-1x2 +2x +15 = 0

ax2 bx c = 0

a = -1

b = 2

c = 15

Δ = b2-4ac

Δ = 2² - (4 * -1 * 15)

Δ = 4 - (4*-15)

Δ = 4 - (-60)

Δ = 64      Δ > 0

-x2+2x+15=0

x = -b ∓ √Δ 2a

x' = -2 - √64 2*-1 = -2 - 8.0 -2 = -10.0 -2 = 5.0

x" = -2 + √64 2*-1 = -2 + 8.0 -2 = 6.0 -2 = -3.0

x' = 5.0

x" = -3.0

S = {x ∈ R / x' = 5.0, x" = -3.0 }