SOLUTION: Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. x^2+1/6x

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. x^2+1/6x      Log On


   

Question 335669: Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial.
x^2+1/6x
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Take 1%2F2 of the x coefficient and square it.
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%281%2F2%29%281%2F6%29=1%2F12
%281%2F12%29%5E2=1%2F144
x%5E2%2B%281%2F6%29x%2B1%2F144=%28x%2B1%2F12%29%5E2