SOLUTION: Solve: √x+2 + 15 = 11 (Show your check.)

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Question 156694This question is from textbook Algebra 1 AN Incremental Development
: Solve: √x+2 + 15 = 11 (Show your check.) This question is from textbook Algebra 1 AN Incremental Development

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x%2B2%29%2B15=11 Start with the given equation


sqrt%28x%2B2%29=-4 Subtract 15 from both sides


x%2B2=16 Square both sides


x=14 Subtract 2 from both sides


So the possible solution is x=14. However, we need to verify it.


Check:


sqrt%28x%2B2%29%2B15=11 Start with the given equation


sqrt%2814%2B2%29%2B15=11 Plug in x=14


sqrt%2816%29%2B15=11 Add


4%2B15=11 Take the square root of 16 to get 4


19=11 Add


Since the equation 19=11 is NOT true, this means that x=14 is not a real solution.

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Answer:

So there are no solutions.