SOLUTION: Solve for X by factoring. (x-6)^2 = 49

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Question 481569: Solve for X by factoring. (x-6)^2 = 49
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x-6%29%5E2=49 Start with the given equation.


x-6=%22%22%2B-sqrt%2849%29 Take the square root of both sides.


x-6=sqrt%2849%29 or x-6=-sqrt%2849%29 Break up the "plus/minus" to form two equations.


x-6=7 or x-6=-7 Take the square root of 49 to get 7.


x=6%2B7 or x=6-7 Add 6 to both sides.


x=13 or x=-1 Combine like terms.


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Answer:


So the solutions are x=13 or x=-1.