5x2 +3x -14 = 0
ax2 bx c = 0
a = 5
b = 3
c = -14
Δ = b2-4ac
Δ = 3² - (4 * 5 * -14)
Δ = 9 - (4*-70)
Δ = 9 - (-280)
Δ = 289 Δ > 0
5x2+3x-14=0
x = -b ∓ √Δ 2a
x' = -3 - √289 2*5 = -3 - 17.0 10 = -20.0 10 = -2.0
x" = -3 + √289 2*5 = -3 + 17.0 10 = 14.0 10 = 1.4
x' = -50.0
x" = 35.0
S = {x ∈ R / x' = -50.0, x" = 35.0 }