SOLUTION: 30.) Solve each equation and check for extraneous solutions. sqrt(a-1 -5 = 1)

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Question 165083This question is from textbook Elementary and Intermediate
: 30.) Solve each equation and check for extraneous solutions.
sqrt(a-1 -5 = 1)
 This question is from textbook Elementary and Intermediate

Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt(a-1 -5 = 1)
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That makes no sense.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming that you mean sqrt%28a-1%29-5+=+1??? Be careful to place your parenthesis in the right spot.


sqrt%28a-1%29-5+=+1 Start with the given equation.


sqrt%28a-1%29+=+1%2B5 Add 5 to both sides.


sqrt%28a-1%29+=+6 Add.


a-1+=+6%5E2 Square both sides to eliminate the square root.


a-1+=+36 Square 6 to get 36.


a=36%2B1 Add 1 to both sides.


a=37 Combine like terms on the right side.


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Answer:

So the answer is a=37