-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 = -50.0 -30 = 1.66666666667

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

x' = 375.0

x" = -180.0

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