SOLUTION: 6x5 − 48x3 = 0

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Question 1192570: 6x5 − 48x3 = 0
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52817)   (Show Source): You can put this solution on YOUR website!
.
6x5 − 48x3 = 0
~~~~~~~~~~~~~~~

    6x^5 - 48x^3 = 0


Divide both sides by 6.  You will get an equivalent equation


    x^5 - 8x^3 = 0.


Factor it, talking x^3 out of parentheses


    x^3*(x^2-8) = 0.


The roots are  x= 0  (of the multiplicity 3),  x =  =   and  x =  = .


ANSWER.  The solutions are  x= 0  (of the multiplicity 3);  x=   and  x= .

Solved and explained.



Answer by josgarithmetic(39621)   (Show Source): You can put this solution on YOUR website!



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