Question

Resolva essa equação:
(X+23).(12+x)=476

Answer 1

(x + 23).(12 + x) = 476
12x + x² + 276 + 23x = 476
x² + 12x + 23x + 276 - 476 = 0
x² + 35x - 200 = 0
a = 1; b = 35; c = - 200

Δ = b² - 4ac
Δ = 35² - 4.1.(-200)
Δ = 1225 + 800
Δ = 2025
√Δ = 45

x = - b +/- √Δ = - 35 +/- √2025
            2a                2.1

x = - 35 + 45 = 10/2 = 5
           2

x = - 35 - 45 = - 80/2 = - 40
            2

R.: x = - 40 e x = 5