-9x2 -7x +22 = 0

ax2 bx c = 0

a = -9

b = -7

c = 22

Δ = b2-4ac

Δ = -7² - (4 * -9 * 22)

Δ = 49 - (4*-198)

Δ = 49 - (-792)

Δ = 841      Δ > 0

-9x2-7x+22=0

x = -b ∓ √Δ 2a

x' = 7 - √841 2*-9 = 7 - 29.0 -18 = -22.0 -18 = 1.22222222222

x" = 7 + √841 2*-9 = 7 + 29.0 -18 = 36.0 -18 = -2.0

x' = 99.0

x" = -162.0

S = {x ∈ R / x' = 99.0, x" = -162.0 }