SOLUTION: Given f(x)=nx^2-12x+9n where n is a real number. What is the value(s) of n such that this quadratic has ONLY ONE REAL root.

Algebra ->  Functions -> SOLUTION: Given f(x)=nx^2-12x+9n where n is a real number. What is the value(s) of n such that this quadratic has ONLY ONE REAL root.      Log On


   

Question 967150: Given f(x)=nx^2-12x+9n where n is a real number. What is the value(s) of n such that this quadratic has ONLY ONE REAL root.
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Discriminant must be 0.

%28-12%29%5E2-4%2An%2A9n=0

144-36n%5E2=0

4-n%5E2=0

n=-2 or n=2