SOLUTION: square root 2x+7 = 5

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Question 870646: square root 2x+7 = 5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%282x%2B7%29+=+5 Start with the given equation.


%28sqrt%282x%2B7%29%29%5E2+=+5%5E2 Square both sides


2x%2B7+=+25 Now that the square root is gone, we solve for x like normal


2x+=+25-7


2x+=+18


x+=+18%2F2


x+=+9


The *possible* answer is x+=+9, but we have to check it


Check: Plug in x = 9 and simplify


sqrt%282x%2B7%29+=+5


sqrt%282%2A9%2B7%29+=+5


sqrt%2818%2B7%29+=+5


sqrt%2825%29+=+5


5+=+5 Works

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The only solution is x+=+9