document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196712>Question 1196712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please l need your help for this assignment.if a and b are the root of the quadratic equation 3x³-4x-7=0, find a²/B +B²/a </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #829682 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=829682\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Don't mix upper case and lower case letters when naming your variables. \"b\" and \"B\" in the same problem can represent completely different quantities.<br><BR>\n" );
document.write( "We are to evaluate the expression<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Fb%2Bb%5E2%2Fa ALIGN=MIDDLE  ALT=\"a%5E2%2Fb%2Bb%5E2%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "which, combining the fractions with a common denominator, is equivalent to<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E3%2Bb%5E3%29%2Fab ALIGN=MIDDLE  ALT=\"%28a%5E3%2Bb%5E3%29%2Fab\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "We can work this problem using Vieta's Theorem which says the sum of the roots is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bb=4%2F3 ALIGN=MIDDLE  ALT=\"a%2Bb=4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the product of the roots is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ab=-7%2F3 ALIGN=MIDDLE  ALT=\"ab=-7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E3%2Bb%5E3%29%2Fab ALIGN=MIDDLE  ALT=\"%28a%5E3%2Bb%5E3%29%2Fab\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Use the factorization pattern for the sum of cubes:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%2Bb%29%28a%5E2-ab%2Bb%5E2%29%29%2Fab ALIGN=MIDDLE  ALT=\"%28%28a%2Bb%29%28a%5E2-ab%2Bb%5E2%29%29%2Fab\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Since we know the values of a+b and ab, rewrite the other term as<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2-ab%2Bb%5E2=%28a%5E2%2B2ab%2Bb%5E2%29-3ab=%28a%2Bb%29%5E2-3ab ALIGN=MIDDLE  ALT=\"a%5E2-ab%2Bb%5E2=%28a%5E2%2B2ab%2Bb%5E2%29-3ab=%28a%2Bb%29%5E2-3ab\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Then the expression we are to evaluate is all in terms of (a+b) and (ab):<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%2Bb%29%28%28a%2Bb%29%5E2-3ab%29%29%2Fab ALIGN=MIDDLE  ALT=\"%28%28a%2Bb%29%28%28a%2Bb%29%5E2-3ab%29%29%2Fab\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bb=4%2F3 ALIGN=MIDDLE  ALT=\"a%2Bb=4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ab=-7%2F3 ALIGN=MIDDLE  ALT=\"ab=-7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and evaluate.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284%2F3%29%28%284%2F3%29%5E2-3%28-7%2F3%29%29%29%2F%28-7%2F3%29 ALIGN=MIDDLE  ALT=\"%28%284%2F3%29%28%284%2F3%29%5E2-3%28-7%2F3%29%29%29%2F%28-7%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%2F7%29%28%28%284%2F3%29%28%284%2F3%29%5E2-3%28-7%2F3%29%29%29%29 ALIGN=MIDDLE  ALT=\"%28-3%2F7%29%28%28%284%2F3%29%28%284%2F3%29%5E2-3%28-7%2F3%29%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4%2F7%29%2816%2F9%2B7%29 ALIGN=MIDDLE  ALT=\"%28-4%2F7%29%2816%2F9%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-64%2F63-4 ALIGN=MIDDLE  ALT=\"-64%2F63-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-316%2F63 ALIGN=MIDDLE  ALT=\"-316%2F63\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Fb%2Bb%5E2%2Fa=-316%2F63 ALIGN=MIDDLE  ALT=\"a%5E2%2Fb%2Bb%5E2%2Fa=-316%2F63\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );