Question

Equação de 2° grau incompleta:
(x+5)²=25

Answer 1

$(x+5)^2 = 25 \\ (x+5).(x+5) = 25 \\ x^2 + 5x + 5x + 25 = 25 \\ x^2 +10x + 25 - 25 = 0 \\ x^2 + 10x = 0 \\ \\ \Delta = 10^2 - 4.1.0 \\ \Delta = 100 \\ \\ x = \frac{-10 \pm 10 }{2} \\ \\ x' = \frac{-10 + 10}{2} = 0 \\ \\ x'' = \frac{-10-10}{2} = -10$

$\boxed{S = \{-10;0\}}$

Answer 2

Oi Renato, 

$(x+5)^2=25 \\ x+5= \pm\sqrt[2]{25} \\ x+5= \pm5 \\ \\ x+5=5 \\ x=5-5 \\ x'=0 \\ \\ x+5=-5 \\ x=-5-5 \\ x''=-10 \\ \\ \\ S=(0,-10)$

Espero ter ajudado e tenha ótimos estudos =)