SOLUTION: Give exact and approximate solutions to three decimal places. (x-10)^2=20

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Question 379455: Give exact and approximate solutions to three decimal places.
(x-10)^2=20
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x-10%29%5E2=20 Start with the given equation.


x-10=%22%22%2B-sqrt%2820%29 Take the square root of both sides.


x-10=sqrt%2820%29 or x-10=-sqrt%2820%29 Break up the "plus/minus" to form two equations.


x-10=2%2Asqrt%285%29 or x-10=-2%2Asqrt%285%29 Simplify the square root.


x=10%2B2%2Asqrt%285%29 or x=10-2%2Asqrt%285%29 Add 10 to both sides.


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Answer:


So the solutions are x=10%2B2%2Asqrt%285%29 or x=10-2%2Asqrt%285%29.


Which approximate to x=14.472 or x=5.528


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim