document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=885979>Question 885979</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the quadratic equation whose roots is;<BR>\n" );
document.write( "three times the roots of 3x^2-10x+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 #535599 by </B><A HREF=/tutors/aboutme.mpl?userid=basketball1127><B>basketball1127(19)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=basketball1127><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=535599\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let m and n be the roots of 3x^2-10x+3=0<BR>\n" );
document.write( "Let p and q be the roots of the new quadratic equation(ax^2+bx+c)<BR>\n" );
document.write( "Then 3m=p, 3n=q\r<BR>\n" );
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document.write( "m+n=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-b%2F2a ALIGN=MIDDLE  ALT=\"-b%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28-10%29%2F2%283%29 ALIGN=MIDDLE  ALT=\"-%28-10%29%2F2%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F6 ALIGN=MIDDLE  ALT=\"10%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "mn= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2Fa ALIGN=MIDDLE  ALT=\"c%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F3 ALIGN=MIDDLE  ALT=\"3%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so,<BR>\n" );
document.write( "p+q = 3m+3n = 3(m+n) = 3(5/3) = 5<BR>\n" );
document.write( "pq = (3m)(3n) = 9mn = 9(1) = 9\r<BR>\n" );
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document.write( "Since the new <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-b%2F2a ALIGN=MIDDLE  ALT=\"-b%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5 and the new <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2Fa ALIGN=MIDDLE  ALT=\"c%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 9<BR>\n" );
document.write( "Then a=1 , b=-10 , c=9\r<BR>\n" );
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document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%28x%5E2%29%2B%28-10%29x%2B9 ALIGN=MIDDLE  ALT=\"1%28x%5E2%29%2B%28-10%29x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-10x%2B9 ALIGN=MIDDLE  ALT=\"x%5E2-10x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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