15x2 -13x -20 = 0

ax2 bx c = 0

a = 15

b = -13

c = -20

Δ = b2-4ac

Δ = -13² - (4 * 15 * -20)

Δ = 169 - (4*-300)

Δ = 169 - (-1200)

Δ = 1369      Δ > 0

15x2-13x-20=0

x = -b ∓ √Δ 2a

x' = 13 - √1369 2*15 = 13 - 37.0 30 = -24.0 30 = -0.8

x" = 13 + √1369 2*15 = 13 + 37.0 30 = 50.0 30 = 1.66666666667

x' = -180.0

x" = 375.0

S = {x ∈ R / x' = -180.0, x" = 375.0 }