Question

If (x-2) 2= 49, then x could be

A. -9

B. -7

C.- 2

D. 5

E.9

Answer 1

(x - 2)^2 = 49

x - 2 = ± 7

x = 2 ± 7

x = 9 ∨ x = -5

Answer E is correct.

Answer 2

Hey there!

Assuming you meant:
`\bold{(x-2)^2=49}`

If so, then follow these steps

1. Firstly, lets
   `\bold{subtract}` by the number
   `\bold{49}` on each of the sides that you're working with

• 
  `\bold{x^2-4x+4-4-49}`
  `\bold{=49-49}`
• 
  `\bold{Cancel: 49-49}` because it gives you the result of
  `\bold{0}`
• 
  `\bold{Keep: 4-49}` because it helps us solve for our answer
• 
  `\bold{We}`
  `\bold{get:}`
  `\bold{x^2-4x-45=0}`

2.
`\bold{Factor}` out the left side of your equation

• 
  `\bold{(x+5)(x-9)=0}`

3.
`\bold{Set}` the numbers to the number
`\bold{0}`

• 
  `\bold{x+5=0}`
• 
  `\bold{x-9=0}`
• First one:
  `\bold{x=-5}`
• Second one:
  `\bold{x=9}`
• Since you don't have any options of
  `\bold{x=-5}` we can't use that one an
  `\bold{x-value}`

So,
`\boxed{\boxed{\bold{Answer: E.)x=9}}}`

Good luck on your assignment and enjoy your day!

~
`\bold{LoveYourselfFirst:)}`