SOLUTION: Solve each equation by factoring or by using the property if x^2=k, then x=+or-the square root of K: (4n-1)^2=16

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve each equation by factoring or by using the property if x^2=k, then x=+or-the square root of K: (4n-1)^2=16      Log On


   

Question 334554: Solve each equation by factoring or by using the property if x^2=k, then x=+or-the square root of K:
(4n-1)^2=16
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%284n-1%29%5E2=16 Start with the given equation.


4x-1=%22%22%2B-sqrt%2816%29 Take the square root of both sides.


4n-1=sqrt%2816%29 or 4n-1=-sqrt%2816%29 Break up the "plus/minus" to form two equations.


4n-1=4 or 4n-1=-4 Take the square root of 16 to get 4.


4n=1%2B4 or 4n=1-4 Add 1 to both sides.


4n=5 or 4n=-3 Combine like terms.


n=5%2F4 or n=-3%2F4 Divide both sides by 4 to isolate n.


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Answer:


So the solutions are n=5%2F4 or n=-3%2F4.