Question

I'm a little confused at how to do this problem, could you check this to make sure I have it done right ?
(x-4)^2 = 625

(undo square by square root)
(x-2) = 25 (x+2) = 25
x = 27 x = 23

Answer 1

( x - 4 ) ^ 2 = 625 Take square root to both sides

+ OR - ( x - 4 ) = 25


1 solution:

x - 4 = 25 Add 4 to both sides

x - 4 + 4 = 25 + 4

x = 29


2 solution:

- ( x - 4 ) = 25

- x + 4 = 25 Subtract 4 to both sides

- x + 4 - 4 = 25 - 4

- x = 21 Multiply both sides by - 1

x = - 21


The solutions are:

x = - 21 and x = 29

Answer 2

Thank you, but why wouldn't the 4 be square rooted

Answer 3

You can square rooted only expresiion between brackets, not single number.

Answer 4

Ohh, thank you