SOLUTION: What value of 'c' would make x^2+2/3x+c a perfect square trinomial ?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: What value of 'c' would make x^2+2/3x+c a perfect square trinomial ?      Log On


   



Question 119296: What value of 'c' would make x^2+2/3x+c a perfect square trinomial ?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What value of 'c' would make x^2+2/3x+c a perfect square trinomial ?
x^2 + (2/3)x + c
Complete the square:
x^2 + (2/3)x + [(2/3)/2]^2
x^2 + (2/3)x + (1/3)^2
x^2 + (2/3)x + (1/9)
c= 1/9
=============
Cheers,
Stan H.