Question 1013724: Help me solve this please! Thank you so much, I really appreciate it!
Identify the solution for the inequality: 9x^3-18x^2-25x+50<0 Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! The easiest way is to graph it and the parts of the graph below 0 are what is desired. This then allows one to look for specific factors to finish the work.
(x-2) appears to be a factor of the equation equaling 0. x=2
substitute 2 into the equation and this equals 0, so it is not a solution, but allows us to factor (x-2) out of the equation. Using synthetic or long division, the remaining factor is 9x^2-25, which is a difference of squares.
The other two roots are +/-(5/3). That is because (3x-5)(3x+5)=0 and solving for x will give +/- (5/3)
It is less than 0 between ((5/3),2) and it is less than 0 between (-oo,(5/3))
