SOLUTION: Determine the values of k so that the equation x^2+kx+36=0 will have one real root.please show me step by step.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Determine the values of k so that the equation x^2+kx+36=0 will have one real root.please show me step by step.      Log On


   

Question 601497: Determine the values of k so that the equation x^2+kx+36=0 will have one real root.please show me step by step.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


In order for a quadratic to have one real root (with a multiplicity of two, of course), it must be a perfect square trinomial. k is two times the square root of the constant term.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism