15x2 -7x -8 = 0

ax2 bx c = 0

a = 15

b = -7

c = -8

Δ = b2-4ac

Δ = -7² - (4 * 15 * -8)

Δ = 49 - (4*-120)

Δ = 49 - (-480)

Δ = 529      Δ > 0

15x2-7x-8=0

x = -b ∓ √Δ 2a

x' = 7 - √529 2*15 = 7 - 23.0 30 = -16.0 30 = -0.533333333333

x" = 7 + √529 2*15 = 7 + 23.0 30 = 30.0 30 = 1.0

x' = -120.0

x" = 225.0

S = {x ∈ R / x' = -120.0, x" = 225.0 }