Question 131144


*[Tex \LARGE (n-5)^2=20] Start with the given equation




*[Tex \LARGE n-5=\pm sqrt{20}] Take the square root of both sides





*[Tex \LARGE n-5=\pm 2sqrt{5}] Simplify the square root (note: If you need help with simplifying the square root, check out this <a href=http://www.algebra.com/algebra/homework/Radicals/simplifying-square-roots.solver> solver</a>)




*[Tex \LARGE n=5\pm 2sqrt{5}] Add 5 to both sides to isolate n.




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

Answer:


So our solution is:

*[Tex \LARGE n=5\pm 2sqrt{5}]



This means our solution breaks down to:


*[Tex \LARGE n=5+2sqrt{5}] or *[Tex \LARGE n=5-2sqrt{5}]