18x2 +5x -2 = 0
ax2 bx c = 0
a = 18
b = 5
c = -2
Δ = b2-4ac
Δ = 5² - (4 * 18 * -2)
Δ = 25 - (4*-36)
Δ = 25 - (-144)
Δ = 169 Δ > 0
18x2+5x-2=0
x = -b ∓ √Δ 2a
x' = -5 - √169 2*18 = -5 - 13.0 36 = -18.0 36 = -0.5
x" = -5 + √169 2*18 = -5 + 13.0 36 = 8.0 36 = 0.222222222222
x' = -162.0
x" = 72.0
S = {x ∈ R / x' = -162.0, x" = 72.0 }