Question

If (x-2) 2= 49, then x could be A. -9 B. -7 C.- 2 D. 5 E.9

Answer 1

Answer:

(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!

~$\bold{LoveYourselfFirst:)}$