SOLUTION: Solve (u-5)^2-16=0,where u is a real number. Simplify your answer as much as possible. If there is more than one solution, separate them with commas

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve (u-5)^2-16=0,where u is a real number. Simplify your answer as much as possible. If there is more than one solution, separate them with commas       Log On


   

Question 315574: Solve (u-5)^2-16=0,where u is a real number.
Simplify your answer as much as possible.
If there is more than one solution, separate them with commas
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28u-5%29%5E2-16=0 Start with the given equation.


%28u-5%29%5E2=0%2B16Add 16 to both sides.


%28u-5%29%5E2=16 Combine like terms.


x-5=%22%22%2B-sqrt%2816%29 Take the square root of both sides.


u-5=sqrt%2816%29 or u-5=-sqrt%2816%29 Break up the "plus/minus" to form two equations.


u-5=4 or u-5=-4 Take the square root of 16 to get 4.


u=5%2B4 or u=5-4 Add 5 to both sides.


u=9 or u=1 Combine like terms.


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Answer:


So the solutions are u=9 or u=1.