SOLUTION: use the square root property to solve (x-22)^2=27

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Question 655468: use the square root property to solve (x-22)^2=27
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-22%29%5E2=27 Start with the given equation.


x-22=%22%22%2B-sqrt%2827%29 Take the square root of both sides.


x-22=sqrt%2827%29 or x-22=-sqrt%2827%29 Break up the "plus/minus" to form two equations.


x-22=3%2Asqrt%283%29 or x-22=-3%2Asqrt%283%29 Simplify the square root.


x=22%2B3%2Asqrt%283%29 or x=22-3%2Asqrt%283%29 Add 22 to both sides.


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Answer:


So the solutions are x=22%2B3%2Asqrt%283%29 or x=22-3%2Asqrt%283%29.