document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173794>Question 173794</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The roots of the equation 4x^2-x+36=0 are (alpha)^2 and (beta)^2. Find: <BR>\n" );
document.write( "(a) an equation whose roots are 1/(alpha)^2 and 1/(beta)^2 ,<BR>\n" );
document.write( "(b) two distinct equations whose roots are (alpha) and (beta). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #128910 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=128910\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+-+x+%2B+36+=+0 ALIGN=MIDDLE  ALT=\"4x%5E2+-+x+%2B+36+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%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=a+=+4 ALIGN=MIDDLE  ALT=\"a+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-1 ALIGN=MIDDLE  ALT=\"b+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+36 ALIGN=MIDDLE  ALT=\"c+=+36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2-4%2A4%2A36+%29%29%2F%282%2A4%29 ALIGN=MIDDLE  ALT=\"x+=+%28-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2-4%2A4%2A36+%29%29%2F%282%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28+1+%2B-+sqrt%28+1+-+576+%29%29+%2F+8+ ALIGN=MIDDLE  ALT=\"x+=+%28+1+%2B-+sqrt%28+1+-+576+%29%29+%2F+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28+1+%2B-+5%2Asqrt%28+-23+%29%29+%2F+8+ ALIGN=MIDDLE  ALT=\"x+=+%28+1+%2B-+5%2Asqrt%28+-23+%29%29+%2F+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28+1+%2B-+5%2Asqrt%2823%29%2Ai%29+%2F+8+ ALIGN=MIDDLE  ALT=\"x+=+%28+1+%2B-+5%2Asqrt%2823%29%2Ai%29+%2F+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+=+%281+%2B+5%2Asqrt%2823%29%2Ai%29%2F8 ALIGN=MIDDLE  ALT=\"a%5E2+=+%281+%2B+5%2Asqrt%2823%29%2Ai%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2+=+%281+-+5%2Asqrt%2823%29%2Ai%29%2F8 ALIGN=MIDDLE  ALT=\"b%5E2+=+%281+-+5%2Asqrt%2823%29%2Ai%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fa%5E2+=+8%2F%281+%2B+5%2Asqrt%2823%29%2Ai%29 ALIGN=MIDDLE  ALT=\"1%2Fa%5E2+=+8%2F%281+%2B+5%2Asqrt%2823%29%2Ai%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fb%5E2+=+8%2F%281+-+5%2Asqrt%2823%29%2Ai%29 ALIGN=MIDDLE  ALT=\"1%2Fb%5E2+=+8%2F%281+-+5%2Asqrt%2823%29%2Ai%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If roots are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5D ALIGN=MIDDLE  ALT=\"r%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B2%5D ALIGN=MIDDLE  ALT=\"r%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+r%5B1%5D%29%28x+-+r%5B2%5D%29+=+x%5E2+-+%28r%5B1%5D+%2B+r%5B2%5D%29x+%2B++r%5B1%5Dr%5B2%5D ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5D+%2B+r%5B2%5D+=+8%2F%281+%2B+5%2Asqrt%2823%29%2Ai%29+%2B+8%2F%281+-+5%2Asqrt%2823%29%2Ai%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5D+%2B+r%5B2%5D+=+8%2A%281+-+5%2Asqrt%2823%29%2Ai+%2B+1+%2B+5%2Asqrt%2823%29%2Ai%29 ALIGN=MIDDLE  ALT=\"r%5B1%5D+%2B+r%5B2%5D+=+8%2A%281+-+5%2Asqrt%2823%29%2Ai+%2B+1+%2B+5%2Asqrt%2823%29%2Ai%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5D+%2B+r%5B2%5D+=+16 ALIGN=MIDDLE  ALT=\"r%5B1%5D+%2B+r%5B2%5D+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5Dr%5B2%5D+=+8%2F%281+%2B+5%2Asqrt%2823%29%2Ai%29+%2A+8%2F%281+-+5%2Asqrt%2823%29%2Ai%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5Dr%5B2%5D+=+64+%2F+%281+-+25%2A23%2A%28-1%29%29 ALIGN=MIDDLE  ALT=\"r%5B1%5Dr%5B2%5D+=+64+%2F+%281+-+25%2A23%2A%28-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5Dr%5B2%5D+=+64+%2F+576 ALIGN=MIDDLE  ALT=\"r%5B1%5Dr%5B2%5D+=+64+%2F+576\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5Dr%5B2%5D+=+1%2F9 ALIGN=MIDDLE  ALT=\"r%5B1%5Dr%5B2%5D+=+1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The equation is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+r%5B1%5D%29%28x+-+r%5B2%5D%29+=+x%5E2+-+%28r%5B1%5D+%2B+r%5B2%5D%29x+%2B++r%5B1%5Dr%5B2%5D ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+r%5B1%5D%29%28x+-+r%5B2%5D%29+=+x%5E2+-+16x+%2B++%281%2F9%29 ALIGN=MIDDLE  ALT=\"%28x+-+r%5B1%5D%29%28x+-+r%5B2%5D%29+=+x%5E2+-+16x+%2B++%281%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+16x+%2B+%281%2F9%29+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+16x+%2B+%281%2F9%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2+-+144x+%2B+1+=+0 ALIGN=MIDDLE  ALT=\"9x%5E2+-+144x+%2B+1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "I'm not sure what the next part is looking for </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );