document.write( "Question 24931: n to the power of 4 + 8n to the power of 3 + 15n to the power of 2 \n" ); document.write( "

Algebra.Com's Answer #13324 by pwac(253) $\"\"$ $\"About$

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n to the power of 4 + 8n to the power of 3 + 15n to the power of 2
\n" ); document.write( "I assume you have to solve for n ?
\n" ); document.write( "First put the expression =0 so now we have an eqation
\n" ); document.write( " $\"n%5E4%2B8n%5E3%2B15n=0\"$
\n" ); document.write( "look for common factor,in this case $\"n%5E2\"$
\n" ); document.write( "take this out to get
\n" ); document.write( " $\"n%5E2%28n%5E2%2B8n%2B15%29=0\"$ expression within brackets factorises easily to give
\n" ); document.write( " $\"n%5E2%28n%2B3%29%28n%2B5%29=0\"$
\n" ); document.write( "take n+3=0
\n" ); document.write( "so n=-3
\n" ); document.write( "n+5=0
\n" ); document.write( "n=-5
\n" ); document.write( "so your answer is n=-3 and n=-5
\n" ); document.write( "try plugging these into original equation to check
\n" ); document.write( "hope this helps
\n" ); document.write( "Pete \n" ); document.write( "

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