SOLUTION: Solve the equation by the square root method. (2x-5)^2=121 There are 2 answers 8 and -3 Please help me understand how they came up with this

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Question 297570: Solve the equation by the square root method.
(2x-5)^2=121
There are 2 answers
8 and -3
Please help me understand how they came up with this

Found 2 solutions by jim_thompson5910, richwmiller:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given equation.


Take the square root of both sides.


or Break up the "plus/minus" to form two equations.


or Take the square root of to get .


or Add to both sides.


or Combine like terms.


or Divide both sides by to isolate .


--------------------------------------


Answer:


So the solutions are or .

Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
(2x-5)^2=121
2x-5=+-11
2x-5=-11 and 11
2x=5-11 and 5+11
2x=-6 and 16
x=-3 and 8