SOLUTION: (x-3) ^2 = 20 answer 3 +2 sqrt 5,3 - 2 sqrt 5 why is the answer 3 + 2 sqrt 5,3 -2 sqrt 5 need a full break down

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Question 193935: (x-3) ^2 = 20


answer 3 +2 sqrt 5,3 - 2 sqrt 5

why is the answer 3 + 2 sqrt 5,3 -2 sqrt 5

need a full break down
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-3%29%5E2=20 Start with the given equation.


x-3=%22%22%2B-sqrt%2820%29 Take the square root of both sides.


x-3=sqrt%2820%29 or x-3=-sqrt%2820%29 Break up the "plus/minus" to form two equations.


x-3=2%2Asqrt%285%29 or x-3=-2%2Asqrt%285%29 Simplify the square root.


x=3%2B2%2Asqrt%285%29 or x=3-2%2Asqrt%285%29 Add 3 to both sides.


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Answer:


So the solutions are x=3%2B2%2Asqrt%285%29 or x=3-2%2Asqrt%285%29.