document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1010881>Question 1010881</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a and b are the roots of the quadratic equation 3x^2 - 4x + 7 =0 , find:<BR>\n" );
document.write( "1) a/3b + b/3a<BR>\n" );
document.write( "2) 1/a^2 + 1/b^2\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 #626403 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=626403\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > are the roots of the quadratic equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+-4x+%2B+7+=0 ALIGN=MIDDLE  ALT=\"3x%5E2+-4x+%2B+7+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > , find:<BR>\n" );
document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F3b+%2B+b%2F3a ALIGN=MIDDLE  ALT=\"a%2F3b+%2B+b%2F3a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fa%5E2+%2B+1%2Fb%5E2 ALIGN=MIDDLE  ALT=\"1%2Fa%5E2+%2B+1%2Fb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "first find the roots <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+-4x+%2B+7+=0 ALIGN=MIDDLE  ALT=\"3x%5E2+-4x+%2B+7+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....use quadratic formula\r<BR>\n" );
document.write( "\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;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-4%29+%2B-+sqrt%28+%28-4%29%5E2-4%2A3%2A7+%29%29%2F%282%2A3%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28-4%29+%2B-+sqrt%28+%28-4%29%5E2-4%2A3%2A7+%29%29%2F%282%2A3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%284+%2B-+sqrt%28+16-84+%29%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%284+%2B-+sqrt%28+16-84+%29%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%284+%2B-+sqrt%28+-68+%29%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%284+%2B-+sqrt%28+-68+%29%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%284+%2B-+i%2Asqrt%28+4%2A17+%29%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%284+%2B-+i%2Asqrt%28+4%2A17+%29%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%284+%2B-+2i%2Asqrt%28+17+%29%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%284+%2B-+2i%2Asqrt%28+17+%29%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28cross%284%292+%2B-+cross%282%29i%2Asqrt%28+17+%29%29%2Fcross%286%293+ ALIGN=MIDDLE  ALT=\"x+=+%28cross%284%292+%2B-+cross%282%29i%2Asqrt%28+17+%29%29%2Fcross%286%293+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%282+%2B-+i%2Asqrt%28+17+%29%29%2F3+ ALIGN=MIDDLE  ALT=\"x+=+%282+%2B-+i%2Asqrt%28+17+%29%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "so, \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+%282+%2B+i%2Asqrt%28+17+%29%29%2F3+ ALIGN=MIDDLE  ALT=\"a+=+%282+%2B+i%2Asqrt%28+17+%29%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+%282+-+i%2Asqrt%28+17+%29%29%2F3+ ALIGN=MIDDLE  ALT=\"b+=+%282+-+i%2Asqrt%28+17+%29%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1) <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282+%2B+i%2Asqrt%28+17+%29%29%2F3%29%2F%283%28%282+-+i%2Asqrt%28+17+%29%29%2F3%29%29+%2B+%28%282+-+i%2Asqrt%28+17+%29%29%2F3%29%2F%283%28%282+%2B+i%2Asqrt%28+17+%29%29%2F3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282+%2B+i%2Asqrt%28+17+%29%29%2F3%29%2F%28cross%283%29%28%282+-+i%2Asqrt%28+17+%29%29%2Fcross%283%29%29%29+%2B+%28%282+-+i%2Asqrt%28+17+%29%29%2F3%29%2F%28cross%283%29%28%282+%2B+i%2Asqrt%28+17+%29%29%2Fcross%283%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282+%2B+i%2Asqrt%28+17+%29%29%2F3%29%2F%282+-+i%2Asqrt%28+17+%29%29+%2B+%28%282+-+i%2Asqrt%28+17+%29%29%2F3%29%2F%282+%2B+i%2Asqrt%28+17+%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282+%2B+i%2Asqrt%28+17+%29%29%2F%283%282+-+i%2Asqrt%28+17+%29%29%29+%2B+%282+-+i%2Asqrt%28+17+%29%29%2F%283%282+%2B+i%2Asqrt%28+17+%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282+%2B+i%2Asqrt%28+17+%29%29%282+%2B+i%2Asqrt%28+17+%29%29%29%2F%283%282+-+i%2Asqrt%28+17+%29%29%282+%2B+i%2Asqrt%28+17+%29%29%29+%2B+%28%282+-+i%2Asqrt%28+17+%29%29%282+-+i%2Asqrt%28+17+%29%29%29%2F%283%282+%2B+i%2Asqrt%28+17+%29%29%282+-+i%2Asqrt%28+17+%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282+%2B+i%2Asqrt%28+17+%29%29%5E2+%2B+%282+-+i%2Asqrt%28+17+%29%29%5E2%29%2F%283%282+%2B+i%2Asqrt%28+17+%29%29%282+-+i%2Asqrt%28+17+%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284+%2B+2i%2Asqrt%28+17+%29%2B%28-1%2917+%2B+4+-+2i%2Asqrt%28+17+%29%2B%28-1%2917%29%2F%283%282%5E2+-+%28i%2Asqrt%28+17+%29%29%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284+%2B+cross%282i%2Asqrt%28+17+%29%29-17+%2B+4+-+cross%282i%2Asqrt%28+17+%29%29-17%29%2F%283%284+-+%281%29%2A+17+%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2B+-34%29%2F%283%284+-+%281%29%2A+17+%29%29 ALIGN=MIDDLE  ALT=\"%288%2B+-34%29%2F%283%284+-+%281%29%2A+17+%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-26%2F%283%284+%2B17+%29%29 ALIGN=MIDDLE  ALT=\"-26%2F%283%284+%2B17+%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-26%2F63 ALIGN=MIDDLE  ALT=\"-26%2F63\"   DISABLED_style= \"max-width:90%; height:auto;\" >....exact\r<BR>\n" );
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document.write( "\n" );
document.write( "or approximately\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.4+ ALIGN=MIDDLE  ALT=\"-0.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2) \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fa%5E2+%2B+1%2Fb%5E2 ALIGN=MIDDLE  ALT=\"1%2Fa%5E2+%2B+1%2Fb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%282+%2B+i%2Asqrt%28+17+%29%29%2F3%29%5E2+%2B+1%2F%28%282+-+i%2Asqrt%28+17+%29%29%2F3%29%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%282+%2B+i%2Asqrt%28+17+%29%29%5E2%2F9%29+%2B+1%2F%28%282+-+i%2Asqrt%28+17+%29%29%5E2%2F9%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F%282+%2B+i%2Asqrt%28+17+%29%29%5E2+%2B+9%2F%282+-+i%2Asqrt%28+17+%29%29%5E2 ALIGN=MIDDLE  ALT=\"9%2F%282+%2B+i%2Asqrt%28+17+%29%29%5E2+%2B+9%2F%282+-+i%2Asqrt%28+17+%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%2818+%28sqrt%2817%29-2%29+%282%2Bsqrt%2817%29%29%29%2F%28%28sqrt%2817%29-2+i%29%5E2+%28sqrt%2817%29%2B2+i%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "....\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-26%2F49 ALIGN=MIDDLE  ALT=\"-26%2F49\"   DISABLED_style= \"max-width:90%; height:auto;\" > exact or approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.5 ALIGN=MIDDLE  ALT=\"-0.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );