Answer :

gmany

[tex](x+7)^2-49=0\qquad\text{add 49 to both sides}\\\\(x+7)^2=49\iff x+7=\pm\sqrt{49}\\\\x+7=-7\ or\ x+7=7\qquad\text{subtract 7 from both sides}\\\\\boxed{x=-14\ or\ x=0}\\\\Answer:\\\\smaller\ x=-14\\larger\ x=0[/tex]

wegnerkolmp2741o

Answer:

x = -14  and x=0

Step-by-step explanation:

(x+7)^2-49=0

Add 49 to both sides

(x+7)^2-49+49=0+49

(x+7)^2 = 49

Take the square root of each side

sqrt((x+7)^2) = ±sqrt(49)

(x+7) = ±sqrt(49)

x+7 = ±7

Subtract 7 from each side to isolate x

x+7-7 = -7±7

x =  -7±7

x = -7+7    and x =  -7-7

x = 0  and x=-14