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)
[tex] \sqrt{(3x-4)^2} = \sqrt{11}[/tex]
[tex](3x-4) = \sqrt{11} \\ x = \frac{ \sqrt{11} + 4 }{3} [/tex] (value of x)
