Question

resolva a equação:(x-5).(x-6)=30

Answer 1

$(x-5)(x-6) = 30\\\\ x^2-5x-6x+30=30\\\\ x^2-11x = 0\\\\ x(x-11) = 0\\\\ \boxed{x=0}\\\\ x-11= 0\\\\\ \boxed{x=11}\\\\ \boxed{S(0,11)}$

Answer 2

(x-5).(x-6)=30
x²-6x - 5x + 30 = 30
x² - 11x +30 - 30 = 0
x² - 11x  = 0

Δ = (-11)²-4.1.0
Δ = 121

x = 11 ± √121
           2

x' = 11 + 11 = 11
          2

x" = 11 - 11 = 0
          2

S = {0;11}