-1x2 +14x +15 = 0

ax2 bx c = 0

a = -1

b = 14

c = 15

Δ = b2-4ac

Δ = 14² - (4 * -1 * 15)

Δ = 196 - (4*-15)

Δ = 196 - (-60)

Δ = 256      Δ > 0

-x2+14x+15=0

x = -b ∓ √Δ 2a

x' = -14 - √256 2*-1 = -14 - 16.0 -2 = -30.0 -2 = 15.0

x" = -14 + √256 2*-1 = -14 + 16.0 -2 = 2.0 -2 = -1.0

x' = 15.0

x" = -1.0

S = {x ∈ R / x' = 15.0, x" = -1.0 }