Question 821307: x^2-3x^5>10
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! 
A graphing calculator would tell you that
 happens for  (rounded),
with the only for  .
Before graphing calculators, I would have calculated the derivative as
 =
Since the last factor is always positive, the zeros of the derivative are at  and at  .
The derivative is negative in between those two values of  ,
meaning that is an interval where  decreases.
For other values of , the derivative is positive and the function increases.
At where  we have a maximum of ,
and at , a minimum of , where  .
Since  and  ,
The value of that makes  is in between,  .
At that point we would try guess-and-check values in between, aiming to get closer limits on , maybe going through
 ,  ,  and so on, until I got a close enough approximation.
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