document.write( "Question 882963: x^4+x^2-12=0 \n" ); document.write( "

Algebra.Com's Answer #533304 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
You may find it easy to factor $\"y%5E2%2By-12=%28y%2B4%29%28y-3%29\"$ .
\n" ); document.write( "If you replace $\"x%5E2\"$ for $\"y\"$ (and consequently $\"x%5E4\"$ for $\"y%5E2\"$ ),
\n" ); document.write( "you realize that $\"x%5E4%2Bx%5E2-12=%28x%5E2%2B4%29%28x%5E2-3%29\"$ and that
\n" ); document.write( "any solution to $\"x%5E4%2Bx%5E2-12=0\"$ is a solution to $\"%28x%5E2%2B4%29%28x%5E2-3%29=0\"$ and vice versa.
\n" ); document.write( "The only real solutions to $\"%28x%5E2%2B4%29%28x%5E2-3%29=0\"$ are
\n" ); document.write( " $\"highlight%28x=sqrt%283%29%29\"$ and $\"highlight%28x=-sqrt%283%29%29\"$ ,
\n" ); document.write( "which are the solutions to $\"x%5E2-3=0\"$ .
\n" ); document.write( " $\"x%5E2%2B4=0\"$ does not have any real solution. \n" ); document.write( "

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