SOLUTION: How do I algebraically find x when x^4=16?
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Question 74699: How do I algebraically find x when x^4=16?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
subtract 16 from both sides
Note that this can be factored. (We'll break the quartic equation into two quadratic equations and we know how to solve those).
so we have
note that this can be factored
--------------------------------------Ans#1
and
------------------------------------------Ans#2
Actually this can be factored also
-----------------------------------------Ans#3
and
----------------------------------------Ans#4
Lets look at solving the two quadratics in another way:
add 4 to both sides
take sqrt of both sides
or
and
subtract 4 from both sides
take the sqrt of both sides
or
Hope this helps---ptaylor
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