Question

Which of the following are solutions to the equation below? Check all that apply.

Answer 1

The answers are C and D. I hope this helps and next question please

Answer 2

You are checking each possible solution to determine whether or not it is a solution of the given equation (5x-1)^2 = 7.  Note that you must follow order of operations rules.  If you wish to check the possible root   sqrt(7)/5  -  1,

subst. that into  (5x-1)^2 = 7  and ask yourself whether the result is true or not.

(5 [ sqrt(7)/5  -  1 ] - 1 )^2  = 7  (true or false?)

( sqrt(7) - 5 - 1)^2 = 7   =>     (sqrt(7)-6)^2 = 7

7 - 12sqrt(7) + 36 = 7  is FALSE.