SOLUTION: Find all the solutions of the equation algebraically. 9x^4-24x^3+16x^2=0

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Question 159907: Find all the solutions of the equation algebraically.
9x^4-24x^3+16x^2=0
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
9x^4-24x^3+16x^2=0
.
Begin by factoring out x^2:
x^2(9x^2-24x+16)=0
.
Factoring the polynomial inside the parenthesis:
x^2(3x-4)(3x-4)=0
.
Notice that if x^2 is 0 OR if (3x-4)=0 the entire left side would be zero.
.
Solutions are when:
1. when
x^2 = 0
x = 0
OR
(3x-4)=0
3x=4
x = 4/3
.
x = {0, 4/3}