22x2 +5x -3 = 0
ax2 bx c = 0
a = 22
b = 5
c = -3
Δ = b2-4ac
Δ = 5² - (4 * 22 * -3)
Δ = 25 - (4*-66)
Δ = 25 - (-264)
Δ = 289 Δ > 0
22x2+5x-3=0
x = -b ∓ √Δ 2a
x' = -5 - √289 2*22 = -5 - 17.0 44 = -22.0 44 = -0.5
x" = -5 + √289 2*22 = -5 + 17.0 44 = 12.0 44 = 0.272727272727
x' = -242.0
x" = 132.0
S = {x ∈ R / x' = -242.0, x" = 132.0 }