SOLUTION: Solve. Express irrational solutions in simplest radical form.If the equation has no solution, write "no solution." (n-5)^2=32

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Question 457550: Solve. Express irrational solutions in simplest radical form.If the equation has no solution, write "no solution." (n-5)^2=32
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28n-5%29%5E2=32 Start with the given equation.


x-5=%22%22%2B-sqrt%2832%29 Take the square root of both sides.


n-5=sqrt%2832%29 or n-5=-sqrt%2832%29 Break up the "plus/minus" to form two equations.


n-5=4%2Asqrt%282%29 or n-5=-4%2Asqrt%282%29 Simplify the square root.


n=5%2B4%2Asqrt%282%29 or n=5-4%2Asqrt%282%29 Add 5 to both sides.


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Answer:


So the solutions are n=5%2B4%2Asqrt%282%29 or n=5-4%2Asqrt%282%29.