SOLUTION: What is the solution set of (3x -1)^2 =5?

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Question 823332: What is the solution set of (3x -1)^2 =5?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283x-1%29%5E2=5 Start with the given equation.


3x-1=%22%22%2B-sqrt%285%29 Take the square root of both sides.


3x-1=sqrt%285%29 or 3x-1=-sqrt%285%29 Break up the "plus/minus" to form two equations.


3x-1=sqrt%285%29 or 3x-1=-sqrt%285%29 Simplify the square root.


3x=1%2Bsqrt%285%29 or 3x=1-sqrt%285%29 Add 1 to both sides.


x=%281%2Bsqrt%285%29%29%2F3 or x=%281-sqrt%285%29%29%2F3 Divide both sides by 3.


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Answer:


So the solutions are x=%281%2Bsqrt%285%29%29%2F3 or x=%281-sqrt%285%29%29%2F3.