Question

Hey can you please help me posted picture of question

Answer 1

`(5x - 2)^2 = 15`

Square root both sides:

`5x - 2 = \pm√(15)`

Add 2 to both sides:

`5x = pm√(15) + 2`

Divide both sides by 5:

`x = ( \pm√(15) + 2)/(5)`

Answers:

`x = ( √(15) + 2)/(5) \ or \ ( - √(15) + 2)/(5)`

Answer: (B) and (E)

Answer 2

Ans: Option (B) and Option (E)

Step-by-step explanation:

Given equation:
(5x-2)^2 = 15

Take square-root on both sides:

`√((5x-2)^2) = √(15) \\ 5x - 2 = \pm √(15) \\ x = ( \pm √(15) + 2)/(5)`

Also plus-minus are involved, hence Options (B) and (E) are both correct.