document.write( "Question 204049: Would you please help me with this?\r
\n" ); document.write( "\n" ); document.write( "Factor\r
\n" ); document.write( "\n" ); document.write( "63c^4+36c^2-18\r
\n" ); document.write( "\n" ); document.write( "Thank you! \n" ); document.write( "

Algebra.Com's Answer #153989 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
I'll say $\"x+=+c%5E2\"$ , then
\n" ); document.write( " $\"63c%5E4%2B36c%5E2-18+=+63X%5E2+%2B+36X+-+18\"$
\n" ); document.write( "To find factors,
\n" ); document.write( " $\"63x%5E2+%2B+36x+-+18+=+0\"$
\n" ); document.write( "Divide both sides by $\"9\"$
\n" ); document.write( " $\"7x%5E2+%2B+4x+-+2+=+0\"$
\n" ); document.write( "quadratic formula:
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"a+=+7\"$
\n" ); document.write( " $\"b+=+4\"$
\n" ); document.write( " $\"c+=+-2\"$
\n" ); document.write( " $\"x+=+%28-4+%2B-+sqrt%28+4%5E2-4%2A7%2A%28-2%29+%29%29%2F%282%2A7%29+\"$
\n" ); document.write( " $\"x+=+%28-4+%2B-+sqrt%28+16+%2B+56+%29%29%2F14+\"$
\n" ); document.write( " $\"x+=+%28-4+%2B-+sqrt%28+72+%29%29%2F14+\"$
\n" ); document.write( " $\"x+=+%28-4+%2B-+6%2Asqrt%28+2+%29%29%2F14+\"$
\n" ); document.write( " $\"x+=+%28-2+%2B+3%2Asqrt%28+2+%29%29%2F7+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"x+=+%28-2+-+3%2Asqrt%28+2+%29%29%2F7+\"$
\n" ); document.write( "And, since $\"x+=+c%5E2\"$ ,
\n" ); document.write( " $\"c+=+sqrt%28%28-2+-+3%2Asqrt%28+2+%29%29%2F7%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "also
\n" ); document.write( " $\"c+=+sqrt%28%28-2+%2B+3%2Asqrt%28+2+%29%29%2F7%29+\"$
\n" ); document.write( "The factors are:
\n" ); document.write( " $\"c+-+sqrt%28%28-2+-+3%2Asqrt%28+2+%29%29%2F7%29+\"$ ,
\n" ); document.write( " $\"c+%2B+sqrt%28%28-2+-+3%2Asqrt%28+2+%29%29%2F7%29+\"$ ,
\n" ); document.write( " $\"c+-+sqrt%28%28-2+%2B+3%2Asqrt%28+2+%29%29%2F7%29+\"$
\n" ); document.write( " $\"c+%2B+sqrt%28%28-2+%2B+3%2Asqrt%28+2+%29%29%2F7%29+\"$
\n" ); document.write( "Unless I goofed, but I think method is OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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