document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255297>Question 255297</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve <BR>\n" );
document.write( "25x^4-20x^2+3=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187579 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=187579\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve<BR>\n" );
document.write( "25x^4-20x^2+3=0\r<BR>\n" );
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document.write( "substitute y for x^2\r<BR>\n" );
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document.write( "25y^2-20y+3=0<BR>\n" );
document.write( "now we got a equation of form a*y^2 + b*y + c = 0<BR>\n" );
document.write( "a=25, b=-20, c=3\r<BR>\n" );
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document.write( "using quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"y+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-%28-20%29+%2B-+sqrt%28+%28-20%29%5E2-4%2A25%2A3+%29%29%2F%282%2A25%29+ ALIGN=MIDDLE  ALT=\"y+=+%28-%28-20%29+%2B-+sqrt%28+%28-20%29%5E2-4%2A25%2A3+%29%29%2F%282%2A25%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%2820+%2B-+sqrt%28+400-300+%29%29%2F50+ ALIGN=MIDDLE  ALT=\"y+=+%2820+%2B-+sqrt%28+400-300+%29%29%2F50+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%2820+%2B-+sqrt%28+100+%29%29%2F50+ ALIGN=MIDDLE  ALT=\"y+=+%2820+%2B-+sqrt%28+100+%29%29%2F50+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%2820+%2B-+10%29%2F50+ ALIGN=MIDDLE  ALT=\"y+=+%2820+%2B-+10%29%2F50+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y1+=+%2820+%2B+10%29%2F50+=+30%2F50+=+3%2F5 ALIGN=MIDDLE  ALT=\"y1+=+%2820+%2B+10%29%2F50+=+30%2F50+=+3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y2+=+%2820+-+10%29%2F50+=+10%2F50+=+1%2F5 ALIGN=MIDDLE  ALT=\"y2+=+%2820+-+10%29%2F50+=+10%2F50+=+1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "y1=3/5,  y2=1/5\r<BR>\n" );
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document.write( "now going back to x<BR>\n" );
document.write( "y=x^2<BR>\n" );
document.write( "x=+- sqrt(y)\r<BR>\n" );
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document.write( "x1=+- sqrt(3/5)<BR>\n" );
document.write( "x2=+- sqrt(1/5)\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
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