Asked by Carl
                9x^4-24x^3+16x^2 (Find all solutions!)
            
            
        Answers
                    Answered by
            drwls
            
    x = 0 is one of them. Factoring out x^2 leaves you with the binomial equation
9x^2 -24x +16 = 0, which can be factored to
(3x -4)^2 = 0
That tells you that the other root is x = 4/3.
Normally, a 4th order equation of this type would have four solutions, some of which may be complex. This one has two real "double roots".
    
9x^2 -24x +16 = 0, which can be factored to
(3x -4)^2 = 0
That tells you that the other root is x = 4/3.
Normally, a 4th order equation of this type would have four solutions, some of which may be complex. This one has two real "double roots".
                    Answered by
            drwls
            
    By the way, this is not trigonometry. It is algebra.
    
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