document.write( "Question 303995: Solve:
\n" ); document.write( "10x^4-17x^2+3=0\r
\n" ); document.write( "\n" ); document.write( "I originally came up with +/-(sqrt6)/2 and +/-(sqrt5)/5
\n" ); document.write( "After working through the problem the second time I came up with +/-(sqrt3/2)and +/-(sqrt1/5).
\n" ); document.write( "Can someone please show me what I did wrong to come up with 2 different solutions? I think I missed something along the way of working through this problem. \n" ); document.write( "
Algebra.Com's Answer #217769 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
There should 4 solutions
\n" ); document.write( "10x^4-17x^2+3=0
\n" ); document.write( "substitute z for x^2
\n" ); document.write( "10z^2-17z+3=0
\n" ); document.write( "factor
\n" ); document.write( "we want factors of 30 that add up to -17
\n" ); document.write( "-15 and -2
\n" ); document.write( "10z^2-15z-2z+3=0
\n" ); document.write( "5z*(2z-3)-1*(2z-3)=0
\n" ); document.write( "(5z-1)*(2z-3)=0
\n" ); document.write( "FOIL
\n" ); document.write( "10z^2-2z-15z+3=0
\n" ); document.write( "ok
\n" ); document.write( "plug x^2 back in for z
\n" ); document.write( "(5z-1)*(2z-3)=0
\n" ); document.write( "(5x^2-1)*(2x^2-3)=0
\n" ); document.write( "5x^2-1=0
\n" ); document.write( "5x^2=1
\n" ); document.write( "x^2=1/5
\n" ); document.write( "x=+-sqrt(1/5)\r
\n" ); document.write( "\n" ); document.write( "and
\n" ); document.write( "2x^2-3=0
\n" ); document.write( "2x^2=3
\n" ); document.write( "x^2=3/2
\n" ); document.write( "x=+-sqrt(3/2)
\n" ); document.write( "x=+-sqrt(1/5)
\n" ); document.write( " \n" ); document.write( "
\n" );