SOLUTION: (x-20)^2 = 27 solve the equation by using the square root property

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Question 865073: (x-20)^2 = 27 solve the equation by using the square root property
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The idea is to isolate x. We do this by taking the square root of both sides, simplifying and adding 20 to both sides


%28x-20%29%5E2+=+27


x-20+=+%22%22%2B-sqrt%2827%29 Don't forget about the plus/minus


x-20+=+sqrt%2827%29 or x-20+=+-sqrt%2827%29 Break up the plus/minus


x-20+=+sqrt%289%2A3%29 or x-20+=+-sqrt%289%2A3%29


x-20+=+sqrt%289%29%2Asqrt%283%29 or x-20+=+-sqrt%289%29%2Asqrt%283%29


x-20+=+3%2Asqrt%283%29 or x-20+=+-3%2Asqrt%283%29


x+=+20%2B3%2Asqrt%283%29 or x+=+20-3%2Asqrt%283%29


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Final Answer:


x+=+20%2B3%2Asqrt%283%29 or x+=+20-3%2Asqrt%283%29


These answers are exact.