SOLUTION: What are the two values of x? 3^(x-x^2)=1/81x

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: What are the two values of x? 3^(x-x^2)=1/81x      Log On


   

Question 660485: What are the two values of x?
3^(x-x^2)=1/81x
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
3%5E%28x-x%5E2%29=3%5E%28-4x%29 because 1%2F81=3%5E%28-4%29
x-x%5E2=-4x Solving this quadratic equation we get:
x%5E2-5x=0
x%28x-5%29=0. The two values of x are: {0, 5}