SOLUTION: solve and check the quadratic equation below by taking the square root of both sides. Express irrational answers in radical form. (x-10)^2=4 thank you for your help!

Algebra ->  Equations -> SOLUTION: solve and check the quadratic equation below by taking the square root of both sides. Express irrational answers in radical form. (x-10)^2=4 thank you for your help!      Log On


   

Question 599239: solve and check the quadratic equation below by taking the square root of both sides. Express irrational answers in radical form.
(x-10)^2=4
thank you for your help!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x-10%29%5E2=4 Start with the given equation.


x-10=%22%22%2B-sqrt%284%29 Take the square root of both sides.


x-10=sqrt%284%29 or x-10=-sqrt%284%29 Break up the "plus/minus" to form two equations.


x-10=2 or x-10=-2 Take the square root of 4 to get 2.


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


x=12 or x=8 Combine like terms.


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Answer:


So the solutions are x=12 or x=8.