SOLUTION: Solve by the square-root property. (x - 2)2 = 36

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve by the square-root property. (x - 2)2 = 36       Log On


   

Question 201201: Solve by the square-root property.
(x - 2)2 = 36
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-2%29%5E2=36 Start with the given equation.


x-2=%22%22%2B-sqrt%2836%29 Take the square root of both sides.


x-2=sqrt%2836%29 or x-2=-sqrt%2836%29 Break up the "plus/minus" to form two equations.


x-2=6 or x-2=-6 Take the square root of 36 to get 6.


x=2%2B6 or x=2-6 Add 2 to both sides.


x=8 or x=-4 Combine like terms.


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


Answer:


So the solutions are x=8 or x=-4.