SOLUTION: Hello, Need to find the exact and approximate solutions to three decimal places for the following: (x-6)^2=20. I am unable to solve, and have even tried using Algebrator, bu

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Question 330436: Hello,
Need to find the exact and approximate solutions to three decimal places for the following: (x-6)^2=20.
I am unable to solve, and have even tried using Algebrator, but cannot interpret.
Thanks!

Found 2 solutions by scott8148, jim_thompson5910:
Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
taking square root ___ x - 6 = ± sqrt(20) = ± 2 sqrt(5)

adding 6 ___ x = 6 ± 2 sqrt(5)

use calculator to find 2 sqrt(5) , add to and subtract from 6

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 Simplify the square root.


or Add to both sides.


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


Answer:


So the solutions are or .



and they approximate to or

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