22x2 +x -5 = 0
ax2 bx c = 0
a = 22
b = 1
c = -5
Δ = b2-4ac
Δ = ² - (4 * 22 * -5)
Δ = 1 - (4*-110)
Δ = 1 - (-440)
Δ = 441 Δ > 0
22x2+x-5=0
x = -b ∓ √Δ 2a
x' = -1 - √441 2*22 = -1 - 21.0 44 = -22.0 44 = -0.5
x" = -1 + √441 2*22 = -1 + 21.0 44 = 20.0 44 = 0.454545454545
x' = -242.0
x" = 220.0
S = {x ∈ R / x' = -242.0, x" = 220.0 }