5x2 -17x +12 = 0
ax2 bx c = 0
a = 5
b = -17
c = 12
Δ = b2-4ac
Δ = -17² - (4 * 5 * 12)
Δ = 289 - (4*60)
Δ = 289 - (240)
Δ = 49 Δ > 0
5x2-17x+12=0
x = -b ∓ √Δ 2a
x' = 17 - √49 2*5 = 17 - 7.0 10 = 10.0 10 = 1.0
x" = 17 + √49 2*5 = 17 + 7.0 10 = 24.0 10 = 2.4
x' = 25.0
x" = 60.0
S = {x ∈ R / x' = 25.0, x" = 60.0 }