-4x2 -7x +2 = 0

ax2 bx c = 0

a = -4

b = -7

c = 2

Δ = b2-4ac

Δ = -7² - (4 * -4 * 2)

Δ = 49 - (4*-8)

Δ = 49 - (-32)

Δ = 81      Δ > 0

-4x2-7x+2=0

x = -b ∓ √Δ 2a

x' = 7 - √81 2*-4 = 7 - 9.0 -8 = -2.0 -8 = 0.25

x" = 7 + √81 2*-4 = 7 + 9.0 -8 = 16.0 -8 = -2.0

x' = 4.0

x" = -32.0

S = {x ∈ R / x' = 4.0, x" = -32.0 }