document.write( "Question 122287: 2. The following equation has degree 4 because the highest power of the variable x is 4:
\n" ); document.write( "x^4 – 3 x^2 + 2 = 0.
\n" ); document.write( "Explain how one can use the quadratic formula to solve this equation by using a change of variable. Solve this equation completely.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #89779 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%5E4+%96+3x%5E2+%2B+2+=+0\"$
\n" ); document.write( " $\"z+=+x%5E2\"$
\n" ); document.write( " $\"z%5E2+-+3z+%2B+2+=+0\"$
\n" ); document.write( " $\"%28z+-+2%29%28z+-+1%29+=+0\"$
\n" ); document.write( " $\"z+=+2\"$
\n" ); document.write( " $\"z+=+1\"$
\n" ); document.write( " $\"x%5E2+=+2\"$
\n" ); document.write( " $\"x%5E2+=+1\"$
\n" ); document.write( " $\"x+=+0+%2B-sqrt%282%29\"$
\n" ); document.write( " $\"x+=+0+%2B-sqrt%281%29\"$
\n" ); document.write( "The solutions are:
\n" ); document.write( " $\"x+=+sqrt%282%29\"$
\n" ); document.write( " $\"x+=+-sqrt%282%29\"$
\n" ); document.write( " $\"x+=+1\"$
\n" ); document.write( " $\"x+=+-1\"$ \n" ); document.write( "

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