SOLUTION: solve: (x + 3/x )^2 = 16

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: solve: (x + 3/x )^2 = 16      Log On


   

Question 1012349: solve:
(x + 3/x )^2 = 16
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
%28x+%2B+3%2Fx+%29%5E2+=+16

x%2B3%2Fx=0%2B-+4
x%28x%2B3%2Fx%29=0%2B-+4x
x%5E2%2B3=0%2B-+4x
x%5E2-4x%2B3=0 OR x%5E2%2B4x%2B3=0


First form,
%28x-1%29%28x-3%29=0
x=1 OR x=3

Second form,
%28x%2B1%29%28x%2B3%29=0
x=-1 OR x=-3

x can be any one of -1 or -3 or 1 or 3.