SOLUTION: If the quadratic x^2+6mx+m has exactly one real root, find the positive value of m.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: If the quadratic x^2+6mx+m has exactly one real root, find the positive value of m.      Log On


   

Question 1075592: If the quadratic x^2+6mx+m has exactly one real root, find the positive value of
m.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2B6mx%2Bm=%28x%2Ba%29%5E2
x%5E2%2B6mx=x%5E2%2B2ax%2Ba%5E2
So,
2a=6m
a=3m
and
m=a%5E2
So,
a=3a%5E2
a=1%2F3
So then,
1%2F3=3m
m=1%2F9