18x2 -17x -15 = 0

ax2 bx c = 0

a = 18

b = -17

c = -15

Δ = b2-4ac

Δ = -17² - (4 * 18 * -15)

Δ = 289 - (4*-270)

Δ = 289 - (-1080)

Δ = 1369      Δ > 0

18x2-17x-15=0

x = -b ∓ √Δ 2a

x' = 17 - √1369 2*18 = 17 - 37.0 36 = -20.0 36 = -0.555555555556

x" = 17 + √1369 2*18 = 17 + 37.0 36 = 54.0 36 = 1.5

x' = -180.0

x" = 486.0

S = {x ∈ R / x' = -180.0, x" = 486.0 }