5x2 -7x -6 = 0

ax2 bx c = 0

a = 5

b = -7

c = -6

Δ = b2-4ac

Δ = -7² - (4 * 5 * -6)

Δ = 49 - (4*-30)

Δ = 49 - (-120)

Δ = 169      Δ > 0

5x2-7x-6=0

x = -b ∓ √Δ 2a

x' = 7 - √169 2*5 = 7 - 13.0 10 = -6.0 10 = -0.6

x" = 7 + √169 2*5 = 7 + 13.0 10 = 20.0 10 = 2.0

x' = -15.0

x" = 50.0

S = {x ∈ R / x' = -15.0, x" = 50.0 }