Question

URGENTE!!!

(x+5)^2=1

(x+5)^2=-1 (Negativo)

Answer 1

(x +5)² = 1
x² +2.(x).(5)+ 25 = 1
x² +10x + 25 = 1
x² + 10x + 25 - 1 = 0
x² + 10x + 24 = 0
a = 1 ; b = 10 ; c = 24
∆ = b² - 4.a.c
∆ = (10)² - 4.(1).(24)
∆ = 100 - 96
∆ = 4
x = -b ± √∆) / 2.a
x = - (10)± √4/ 2.(1)
x = - 10 ± 2/ 2

x'= -10+ 2/2 → - 8/2
x'= - 4

x"= -10 -2/ 2 → - 12/2
x"= - 6
Raízes { -4 , -6 }


(x +5)² = -1
x² +2.(x).(5)+ 25 = -1
x² +10x + 25 = -1
x² + 10x + 25 +1 = 0
x² + 10x + 26 = 0
a = 1 ; b = 10 ; c = 26
∆ = b² - 4.a.c
∆ = (10)² - 4.(1).(26)
∆ = 100 - 104
∆ = - 4 Não existe raízes reais.