SOLUTION: find all solutions of the equation algebraically 9x^4

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

Question 180700: find all solutions of the equation algebraically
9x^4 - 24x^3 + 16x^2 =0

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Factor out the GCF

Factor the inner expression by use of the difference of squares formula.

Now set each factor equal to zero:

, or

, , or Now solve for x in each case

Since we have repeating answers, our real answers are or

So the solutions are or
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