document.write( "Question 59097: Please help w/ the following:\r
\n" ); document.write( "\n" ); document.write( "2x^-2+3x^-1+1=0\r
\n" ); document.write( "\n" ); document.write( "Thank you. \n" ); document.write( "

Algebra.Com's Answer #40528 by funmath(2933) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"2x%5E%28-2%29%2B3x%5E%28-1%29%2B1=0\"$
\n" ); document.write( " $\"2%28x%5E%28-1%29%29%5E2%2B3%28x%5E%28-1%29%29%2B1=0\"$
\n" ); document.write( "Let $\"x%5E%28-1%29=p\"$
\n" ); document.write( " $\"2p%5E2%2B3p%2B1=0\"$
\n" ); document.write( "(2p+1)(p+1)=0
\n" ); document.write( "2p+1=0 and p+1=0
\n" ); document.write( "2p+1-1=0-1 and p+1-1=0-1
\n" ); document.write( "2p=-1 and p=-1
\n" ); document.write( "2p/2=-1/2 and p=-1
\n" ); document.write( "p=-1/2 and p=-1
\n" ); document.write( "But we want to know what x is so let $\"p=x%5E%28-1%29\"$
\n" ); document.write( " $\"x%5E%28-1%29=-1%2F2\"$ and $\"x%5E%28-1%29=-1\"$
\n" ); document.write( " $\"%28x%5E%28-1%29%29%5E%28-1%29=%28-1%2F2%29%5E%28-1%29\"$ and $\"%28x%5E%28-1%29%29%5E%28-1%29=%28-1%29%5E%28-1%29\"$
\n" ); document.write( " $\"highlight%28x=-2%29\"$ and $\"highlight%28x=-1%29\"$
\n" ); document.write( ":
\n" ); document.write( "Check:
\n" ); document.write( " $\"2%28-2%29%5E%28-2%29%2B3%28-2%29%5E%28-1%29%2B1=0\"$
\n" ); document.write( " $\"2%281%2F4%29%2B3%28-1%2F2%29%2B1=0\"$
\n" ); document.write( " $\"1%2F2-3%2F2%2B1=0\"$
\n" ); document.write( " $\"-2%2F2%2B1=0\"$
\n" ); document.write( " $\"-1%2B1=0\"$
\n" ); document.write( " $\"0=0\"$ x=-2 checks out.
\n" ); document.write( ":
\n" ); document.write( " $\"2%28-1%29%5E%28-2%29%2B3%28-1%29%5E%28-1%29%2B1=0\"$
\n" ); document.write( " $\"2%281%29%2B3%28-1%29%2B1=0\"$
\n" ); document.write( " $\"2-3%2B1=0\"$
\n" ); document.write( " $\"0=0\"$ x=-1 checks out too.
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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