SOLUTION: (y+2)^2 = 20 solve for y my nephew and i both keep getting different answers

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Question 154211: (y+2)^2 = 20
solve for y my nephew and i both keep getting different answers
Answer by jim_thompson5910(28536) About Me  (Show Source):
You can put this solution on YOUR website!

%28y%2B2%29%5E2=20 Start with the given equation.


x%2B2=0%2B-sqrt%2820%29 Take the square root of both sides.


y%2B2=sqrt%2820%29 or y%2B2=-sqrt%2820%29 Break up the "plus/minus" to form two equations.


y%2B2=2%2Asqrt%285%29 or y%2B2=-2%2Asqrt%285%29 Simplify the square root.


y=-2%2B2%2Asqrt%285%29 or y=-2-2%2Asqrt%285%29 Subtract 2 from both sides.


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Answer:


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


which approximate to y=2.472 or y=-6.472