-4x2 +3x +10 = 0
ax2 bx c = 0
a = -4
b = 3
c = 10
Δ = b2-4ac
Δ = 3² - (4 * -4 * 10)
Δ = 9 - (4*-40)
Δ = 9 - (-160)
Δ = 169 Δ > 0
-4x2+3x+10=0
x = -b ∓ √Δ 2a
x' = -3 - √169 2*-4 = -3 - 13.0 -8 = -16.0 -8 = 2.0
x" = -3 + √169 2*-4 = -3 + 13.0 -8 = 10.0 -8 = -1.25
x' = 32.0
x" = -20.0
S = {x ∈ R / x' = 32.0, x" = -20.0 }