SOLUTION: Solve 3(x-2)^2=48

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve 3(x-2)^2=48      Log On


   

Question 206762: Solve 3(x-2)^2=48
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3%28x-2%29%5E2=48 Start with the given equation.


%28x-2%29%5E2=%2848%29%2F%283%29 Divide both sides by 3.


%28x-2%29%5E2=16 Reduce.


x-2=%22%22%2B-sqrt%2816%29 Take the square root of both sides.


x-2=sqrt%2816%29 or x-2=-sqrt%2816%29 Break up the "plus/minus" to form two equations.


x-2=4 or x-2=-4 Take the square root of 16 to get 4.


x=2%2B4 or x=2-4 Add 2 to both sides.


x=6 or x=-2 Combine like terms.


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


Answer:


So the solutions are x=6 or x=-2.