SOLUTION: solve for x (square root 3x+1) -1=x-4

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Question 77353: solve for x
(square root 3x+1) -1=x-4
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x: Hint: Isolate the radical.
sqrt%283x%2B1%29-1+=+x-4 First, add 1 to both sides of the equation.
sqrt%283x%2B1%29+=+x-3 Now square both sides.
3x%2B1+=+x%5E2-6x%2B9 Next, subtract 3x from both sides.
1+=+x%5E2-9x%2B9 Now subtract 1 from both sides.
0+=+x%5E2-9x%2B8 or:
x%5E2-9x%2B8+=+0 Solve this quadratic equation by factoring.
%28x-8%29%28x-1%29+=+0 Apply the zero products principle:
x-8+=+0 or x-1+=+0
The solutions:
x+=+8
x+=+1