document.write( "Question 872287: Find the solution set for x^4 - 12x^2 + 32 = 0\r
\n" ); document.write( "\n" ); document.write( "Can you please help me out? Thanks so much in advance:)
\n" ); document.write( "

Algebra.Com's Answer #526084 by josgarithmetic(39630)\"\" \"About 
You can put this solution on YOUR website!
Try a substitution, like u=x^2, and then solve for u. You next must solve for x from reversing the substitution. You may find four different solutions.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28u-4%29%28u-8%29=0\"
\n" ); document.write( "u=4 OR u=8.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2=4\"
\n" ); document.write( "x=-2 or x=2;\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2=8\"
\n" ); document.write( "x=-sqrt(2*2*2)=-2*sqrt(2)
\n" ); document.write( "or
\n" ); document.write( "x=2*sqrt(2)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "SUMMARY OF SOLUTION
\n" ); document.write( "-----------------------------------------------
\n" ); document.write( "\"x=-2\" OR \"x=2\" OR \"x=-2sqrt%282%29\" OR \"x=2sqrt%282%29\"
\n" ); document.write( "-----------------------------------------------
\n" ); document.write( "
\n" );