SOLUTION: n to the power of 4 + 8n to the power of 3 + 15n to the power of 2

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Question 24931: n to the power of 4 + 8n to the power of 3 + 15n to the power of 2
Answer by pwac(253) About Me  (Show Source):
You can put this solution on YOUR website!
n to the power of 4 + 8n to the power of 3 + 15n to the power of 2
I assume you have to solve for n ?
First put the expression =0 so now we have an eqation
n%5E4%2B8n%5E3%2B15n=0
look for common factor,in this case n%5E2
take this out to get
n%5E2%28n%5E2%2B8n%2B15%29=0expression within brackets factorises easily to give
n%5E2%28n%2B3%29%28n%2B5%29=0
take n+3=0
so n=-3
n+5=0
n=-5
so your answer is n=-3 and n=-5
try plugging these into original equation to check
hope this helps
Pete