document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=691072>Question 691072</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help solve this !\r<BR>\n" );
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document.write( "The question states. Explain each step in your solution.\r<BR>\n" );
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document.write( "&#8730;(3x^2 )+10x-5=0\r<BR>\n" );
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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 #426545 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=426545\">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=sqrt%283x%5E2%29+%2B+10x+-+5+=+0+ ALIGN=MIDDLE  ALT=\"sqrt%283x%5E2%29+%2B+10x+-+5+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Add 5 and subtract 10x from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283x%5E2%29+=+-10x+%2B+5+ ALIGN=MIDDLE  ALT=\"sqrt%283x%5E2%29+=+-10x+%2B+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Square both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%283x%5E2%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%283x%5E2%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-10x%2B5%29%5E2 ALIGN=MIDDLE  ALT=\"%28-10x%2B5%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "FOIL the right side<BR>\n" );
document.write( "3x^2 = 100x^2 - 50x - 50x + 25<BR>\n" );
document.write( "0 = 100x^2 - 3x^2 - 100x + 25<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "97x^2 - 100x + 25 = 0<BR>\n" );
document.write( "Use the quadratic formula to solve this a=97;b=-100;c=25<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-100%29+%2B-+sqrt%28-100%5E2-4%2A97%2A25+%29%29%2F%282%2A97%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28-100%29+%2B-+sqrt%28-100%5E2-4%2A97%2A25+%29%29%2F%282%2A97%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+=+%28100+%2B-+sqrt%2810000-9700+%29%29%2F194+ ALIGN=MIDDLE  ALT=\"x+=+%28100+%2B-+sqrt%2810000-9700+%29%29%2F194+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28100+%2B-+sqrt%28300+%29%29%2F194+ ALIGN=MIDDLE  ALT=\"x+=+%28100+%2B-+sqrt%28300+%29%29%2F194+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28100+%2B+17.32%29%2F194+ ALIGN=MIDDLE  ALT=\"x+=+%28100+%2B+17.32%29%2F194+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=117.32%2F194 ALIGN=MIDDLE  ALT=\"117.32%2F194\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = .6047<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28100+-+17.32%29%2F194+ ALIGN=MIDDLE  ALT=\"x+=+%28100+-+17.32%29%2F194+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=82.68%2F194 ALIGN=MIDDLE  ALT=\"82.68%2F194\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = .4262<BR>\n" );
document.write( ": <BR>\n" );
document.write( "but only x=.4262 checks out in the original equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%2A.4262%5E2%29+%2B+10%28.4262%29+-+5+=+0+ ALIGN=MIDDLE  ALT=\"sqrt%283%2A.4262%5E2%29+%2B+10%28.4262%29+-+5+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28.545%29+%2B+4.262+-+5+=+0+ ALIGN=MIDDLE  ALT=\"sqrt%28.545%29+%2B+4.262+-+5+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".7382 + 4.262 - 5 = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "so only x = .4262 is the solution\r<BR>\n" );
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document.write( " </SPAN>\n" );
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