document.write( "Question 303995: Solve:
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document.write( "10x^4-17x^2+3=0\r
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document.write( "I originally came up with +/-(sqrt6)/2 and +/-(sqrt5)/5
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document.write( "After working through the problem the second time I came up with +/-(sqrt3/2)and +/-(sqrt1/5).
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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" );
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Algebra.Com's Answer #217766 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 10x^4-17x^2+3=0 \n" ); document.write( ". \n" ); document.write( "10x^4-15x^2-2x^2+3-0 \n" ); document.write( ". \n" ); document.write( "5x^2(2x^2-3)-1(2x^2-3)=0\r \n" ); document.write( "\n" ); document.write( "(5x^2-1)(2x^2-3)= 0\r \n" ); document.write( "\n" ); document.write( "either 5x^2 =1\r \n" ); document.write( "\n" ); document.write( "OR\r \n" ); document.write( "\n" ); document.write( "2x^2=3\r \n" ); document.write( "\n" ); document.write( "if 5x^2=1\r \n" ); document.write( "\n" ); document.write( "x^2=1/5\r \n" ); document.write( "\n" ); document.write( "x=+/- 1/sqrt5\r \n" ); document.write( "\n" ); document.write( "if 2x^2=3 \r \n" ); document.write( "\n" ); document.write( "x^2=3/2\r \n" ); document.write( "\n" ); document.write( "x= + /- sqrt(3/2)\r \n" ); document.write( "\n" ); document.write( "Why the confusion you were right. There are 2 possibilities to satisfy the equation.\r \n" ); document.write( "\n" ); document.write( "Ananth \n" ); document.write( " |