Question

hey can you please help me posted picture of question

Answer 1

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

Square root both sides:
$5x - 2 = \pm\sqrt{15}$

Add 2 to both sides:
$5x = pm\sqrt{15} + 2$

Divide both sides by 5:
$x = \dfrac{ \pm\sqrt{15} + 2}{5}$

Answers:
$x = \dfrac{ \sqrt{15} + 2}{5} \ or \ \dfrac{ - \sqrt{15} + 2}{5}$

Answer: (B) and (E)

Answer 2

Ans: Option (B) and Option (E)

Explanation:

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

Take square-root on both sides:
$\sqrt{(5x-2)^2} = \sqrt{15} \\ 5x - 2 = \pm \sqrt{15} \\ x = \frac{ \pm \sqrt{15} + 2}{5}$

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