SOLUTION: Please help with the following. Last one i promise. thanks in advance Find all solutions of the equation. 9x^3 - 24x^3 + 16x^2 = 0 thanks

Algebra ->  Equations -> SOLUTION: Please help with the following. Last one i promise. thanks in advance Find all solutions of the equation. 9x^3 - 24x^3 + 16x^2 = 0 thanks       Log On


   

Question 43984This question is from textbook College Algebra
: Please help with the following. Last one i promise. thanks in advance
Find all solutions of the equation.
9x^3 - 24x^3 + 16x^2 = 0
thanks
 This question is from textbook College Algebra

Answer by adamchapman(301) About Me  (Show Source):
You can put this solution on YOUR website!
9x%5E3-24x%5E3%2B16x%5E2=0
simplify
-15x%5E3%2B16x%5E2=0
we cannot easily solve a cubic polynomial but we can solve a quadratic
now use the quadratic solver x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
where
a=-15
b=16
c=0
this gives x=%28-16%2B-sqrt%2816%5E2-0%29%29%2F-30%29
x=%28-16%2B-16%29%2F-30
which gives solutions x=0 or x=16/15