document.write( "Question 366752: please help me find the find real solution to $\"2x%5E4-5x%5E2-12=0\"$ \n" ); document.write( "

Algebra.Com's Answer #261417 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"2x%5E4+-+5x%5E2+-+12=0\"$
\n" ); document.write( " $\"z+=+x%5E2\"$
\n" ); document.write( " $\"2z%5E2+-+5z+-+12+=+0\"$
\n" ); document.write( "Use quadratic formula
\n" ); document.write( " $\"z+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"a+=+2\"$
\n" ); document.write( " $\"b+=+-5\"$
\n" ); document.write( " $\"c+=+-12\"$
\n" ); document.write( " $\"z+=+%28-%28-5%29+%2B-+sqrt%28+%28-5%29%5E2+-+4%2A2%2A%28-12%29+%29%29%2F%282%2A2%29+\"$
\n" ); document.write( " $\"z+=+%28+5+%2B-+sqrt%28+25+%2B+96+%29%29%2F4+\"$
\n" ); document.write( " $\"z+=+%28+5+%2B-+sqrt%28+121+%29%29%2F4+\"$
\n" ); document.write( " $\"z+=+%285+%2B+11%29%2F4\"$
\n" ); document.write( " $\"z+=+4\"$
\n" ); document.write( "and
\n" ); document.write( " $\"z+=+%285+-+11%29%2F4\"$
\n" ); document.write( " $\"z+=+-3%2F2\"$
\n" ); document.write( "And since $\"z+=+x%5E2\"$ ,
\n" ); document.write( " $\"x%5E2+=+4\"$
\n" ); document.write( " $\"x+=+2\"$
\n" ); document.write( " $\"x+=+-2\"$
\n" ); document.write( "These are the real solutions
\n" ); document.write( " $\"z+=+-3%2F2\"$ gives 2 imaginary solutions\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );