document.write( "Question 61784: $\"x%5E4\"$ +1= $\"6x%5E2\"$ \n" ); document.write( "

Algebra.Com's Answer #42521 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%5E4+%2B+1+=+6x%5E2\"$
\n" ); document.write( " $\"x%5E4+-+6x%5E2+%2B+1+=+0\"$
\n" ); document.write( "solve by completing the square
\n" ); document.write( "If b is the coefficient of $\"x%5E2\"$ ,
\n" ); document.write( "then $\"x%5E4+-+bx%5E2+%2B+%28b%2F2%29%5E2+=+0\"$
\n" ); document.write( "First subtract 1 from both sides
\n" ); document.write( " $\"x%5E4+-+6x%5E2+=+-1\"$
\n" ); document.write( " $\"x%5E4+-+6x%5E2+%2B+9+=+-+1+%2B+9\"$
\n" ); document.write( " $\"%28x%5E2+-+3%29%5E2+=+8\"$
\n" ); document.write( "take the square root of both sides
\n" ); document.write( " $\"x%5E2+-+3+=+2%2A%280%2B-sqrt%282%29%29\"$
\n" ); document.write( " $\"x%5E2+=+3+%2B+2sqrt%282%29\"$ and
\n" ); document.write( " $\"x%5E2+=+3+-+2sqrt%282%29\"$
\n" ); document.write( "solving for x
\n" ); document.write( " $\"x+=+%2B+sqrt%283+%2B+2sqrt%282%29%29\"$
\n" ); document.write( " $\"x+=+-+sqrt%283+%2B+2sqrt%282%29%29\"$
\n" ); document.write( " $\"x+=+%2B+sqrt%283+-+2sqrt%282%29%29\"$
\n" ); document.write( " $\"x+=+-+sqrt%283+-+2sqrt%282%29%29\"$
\n" ); document.write( "Try each of these. I tried one, and
\n" ); document.write( "it was a solution \n" ); document.write( "

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