Question

hey can you please help me posted picture of question

Answer 1

The correct answer is: Option (D) Take the square root of both sides

Explanation:
Given equation:
9x^2 -24x + 16 = 11

Step 1:
9x^2 - 12x - 12x + 16 = 11
3x(3x - 4) - 4(3x - 4) = 11
(3x-4)^2 = 11

Step 2:
Take square-root on both sides (Option D)
$\sqrt{(3x-4)^2} = \sqrt{11}$
$(3x-4) = \sqrt{11} \\ x = \frac{ \sqrt{11} + 4 }{3}$ (value of x)

Answer 2

Take the square root of both sides. so D.