SOLUTION: If {{{ 3x^2+8ax+3 }}}is a perfect square , then find the value of a. Please help me out with this problem.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: If {{{ 3x^2+8ax+3 }}}is a perfect square , then find the value of a. Please help me out with this problem.      Log On


   

Question 726936: If +3x%5E2%2B8ax%2B3+is a perfect square , then find the value of a.
Please help me out with this problem.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
As a perfect square, the coefficient on x and constant of the binomial factor must be sqrt%283%29 or possibly -sqrt%283%29.


And you expect as given that ...
3x%5E2%2B2%2Asqrt%283%29x%2B3=3x%5E2%2B8ax%2B3.

Can you now see what to do next?