document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=563740>Question 563740</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f(x)=25x^2+10x+1<BR>\n" );
document.write( "type an ordered pair<BR>\n" );
document.write( "I got 1 for y <BR>\n" );
document.write( "I got -1/5 for x<BR>\n" );
document.write( "The answer isn't an ordered pair though.<BR>\n" );
document.write( "Could someone please help me out.<BR>\n" );
document.write( "Thank You </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #365055 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=365055\">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=f%28x%29+=+25x%5E2%2B10x%2B1 ALIGN=MIDDLE  ALT=\"f%28x%29+=+25x%5E2%2B10x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite this as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+25x%5E2%2B10x%2B1 ALIGN=MIDDLE  ALT=\"y+=+25x%5E2%2B10x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To get y = 1 as you did, you must have let x = 0, why? because:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+25%280%296%2B10%280%29%2B1 ALIGN=MIDDLE  ALT=\"y+=+25%280%296%2B10%280%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+1 ALIGN=MIDDLE  ALT=\"y+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "So the ordered pair is: (0, 1)<BR>\n" );
document.write( "And if you solved this quadratic equation, you would get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+25x%5E2%2B10x%2B1 ALIGN=MIDDLE  ALT=\"y+=+25x%5E2%2B10x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Set y = 0.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%5E2%2B10x%2B1+=+0 ALIGN=MIDDLE  ALT=\"25x%5E2%2B10x%2B1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the left side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x%2B1%29%285x%2B1%29+=+0 ALIGN=MIDDLE  ALT=\"%285x%2B1%29%285x%2B1%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1%2F5 ALIGN=MIDDLE  ALT=\"x+=+-1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is a double solution.<BR>\n" );
document.write( "So when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+0 ALIGN=MIDDLE  ALT=\"y+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1%2F5 ALIGN=MIDDLE  ALT=\"x+=+-1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the ordered pair would be: (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F5 ALIGN=MIDDLE  ALT=\"-1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "But note that there is an infinite number of ordered pairs that satisfy this equation.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );