Question

Solve this question pls. thanks

Answer 1

The next Step is

The Option is A

( 3x - 1 ) = ± 5

Explanation:

Given:

`4(3x-1)^(2) - 17 = 83\\`

Solution:

Always while square rooting we get two values because square of negative number is also positive number.

Step wise:

`4(3x-1)^(2) - 17 = 83\\\\\\4(3x-1)^(2) = 100\\\\(3x-1)^(2)= 25\\\\\textrm{taking square rooting on both the side we get}\\\\(3x-1) =\pm√(25)\\\\\\(3x-1)=\pm5\\ \textrm{Which is the required step}\\\\3x=1 \pm5\\3x=6\ or\ 3x =-4\\\\x =2\ or\ x=(-4)/(3)`