document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=268967>Question 268967</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem. \r<BR>\n" );
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document.write( "1. Type an exact answer, using radicals as needed. Rationalize all  denominators. use a comma to seperate answeres as needed.\r<BR>\n" );
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document.write( "15x^4-8x^2+1=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #197065 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=197065\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Type an exact answer, using radicals as needed. Rationalize all denominators. use a comma to seperate answeres as needed. <BR>\n" );
document.write( "15x^4-8x^2+1=0<BR>\n" );
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document.write( "Think of two numbers whose product is 1*15 = 15<BR>\n" );
document.write( "and whose sum is -8.<BR>\n" );
document.write( "The numbers are -5 and -3<BR>\n" );
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document.write( "Change the middle term of your problem to -5x-3x<BR>\n" );
document.write( "15x^2-5x-3x+1 = 0<BR>\n" );
document.write( "Factor the 1st 2 and the last two terms separately:<BR>\n" );
document.write( "5x(3x-1)-(3x-1) = 0<BR>\n" );
document.write( "Factor again:<BR>\n" );
document.write( "(3x-1)(5x-1) = 0<BR>\n" );
document.write( "Solve for \"x\":<BR>\n" );
document.write( "x = 1/3 or x = 1/5<BR>\n" );
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document.write( "cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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