document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=362021>Question 362021</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm still trying to finish this packet I have... So here's another few questions I'm having a hard time with.<BR>\n" );
document.write( "I really appreciate the help, and I reallyyy need it!<BR>\n" );
document.write( "1. r to the third + r^ - 6r<BR>\n" );
document.write( "2. x^ - 14x + 49<BR>\n" );
document.write( "x^ + 1 over 2x + 1 over 16<BR>\n" );
document.write( "(as fractions)<BR>\n" );
document.write( "3. 81m to the fourth - 16<BR>\n" );
document.write( "4. 4- 2q - 6p + 3pq<BR>\n" );
document.write( "5. 3n to the third + 12n^ - 36n<BR>\n" );
document.write( "6. r^ + r + 3<BR>\n" );
document.write( "7. 16x^ - 14x + 3<BR>\n" );
document.write( "8. 7b^ - 42b + 56<BR>\n" );
document.write( "9. y^ + 4y - 45<BR>\n" );
document.write( "10. 8a^ + 23a - 3\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you againnn! I just really need to get this class out of my way. It's holding me back from continuing other work and classes that I don't even struggle with. I'm sure you can imagaine my frustration with this! But thank you for the help... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #258046 by </B><A HREF=/tutors/aboutme.mpl?userid=JBarnum><B>JBarnum(2146)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JBarnum><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=JBarnum><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=258046\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> these are mostly quadratic equations(1,2,5,6,7,8,9,10) which are solved the same way you just need to do the calculations i will do one equation for u below:<BR>\n" );
document.write( "#1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E3%2Br%5E2-6r ALIGN=MIDDLE  ALT=\"r%5E3%2Br%5E2-6r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%28r%5E2%2Br-6%29 ALIGN=MIDDLE  ALT=\"r%28r%5E2%2Br-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%28r%5E2%2Br-6%29 ALIGN=MIDDLE  ALT=\"r%28r%5E2%2Br-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > +3 and -2 are two numbers that multiply to get -6 and add to get +1, if you cant do it this way use the quadratic formula to solve.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%28%28r-2%29%28r%2B3%29%29 ALIGN=MIDDLE  ALT=\"r%28%28r-2%29%28r%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r-2=0 ALIGN=MIDDLE  ALT=\"r-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2B3=0 ALIGN=MIDDLE  ALT=\"r%2B3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "#3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81m%5E4-16 ALIGN=MIDDLE  ALT=\"81m%5E4-16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289m%5E2-4%29%289m%5E2-4%29 ALIGN=MIDDLE  ALT=\"%289m%5E2-4%29%289m%5E2-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283m-2%29%283m%2B2%29%29%28%283m-2%29%283m%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28%283m-2%29%283m%2B2%29%29%28%283m-2%29%283m%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3m=2 ALIGN=MIDDLE  ALT=\"3m=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3m=-2 ALIGN=MIDDLE  ALT=\"3m=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F3 ALIGN=MIDDLE  ALT=\"-2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "#4 Im not sure what the question is asking for you to do, cause u cant find what either equals with 2 variables makes near unlimited possible solutions<BR>\n" );
document.write( "#10<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8a%5E2%2B23a-3 ALIGN=MIDDLE  ALT=\"8a%5E2%2B23a-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=quadratic.solver>SOLVE quadratic equation with variable</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Quadratic equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=aa%5E2%2Bba%2Bc=0 ALIGN=MIDDLE  ALT=\"aa%5E2%2Bba%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > (in our case <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8a%5E2%2B23a%2B-3+=+0 ALIGN=MIDDLE  ALT=\"8a%5E2%2B23a%2B-3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >) has the following solutons:<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca ALIGN=MIDDLE  ALT=\"a%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  For these solutions to exist, the <U>discriminant</U> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac ALIGN=MIDDLE  ALT=\"b%5E2-4ac\"   DISABLED_style= \"max-width:90%; height:auto;\" > should not be a negative number.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  First, we need to compute the discriminant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac ALIGN=MIDDLE  ALT=\"b%5E2-4ac\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac=%2823%29%5E2-4%2A8%2A-3=625 ALIGN=MIDDLE  ALT=\"b%5E2-4ac=%2823%29%5E2-4%2A8%2A-3=625\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Discriminant d=625 is greater than zero. That means that there are two solutions: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5B12%5D+=+%28-23%2B-sqrt%28+625+%29%29%2F2%5Ca ALIGN=MIDDLE  ALT=\"+x%5B12%5D+=+%28-23%2B-sqrt%28+625+%29%29%2F2%5Ca\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D+=+%28-%2823%29%2Bsqrt%28+625+%29%29%2F2%5C8+=+0.125 ALIGN=MIDDLE  ALT=\"a%5B1%5D+=+%28-%2823%29%2Bsqrt%28+625+%29%29%2F2%5C8+=+0.125\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B2%5D+=+%28-%2823%29-sqrt%28+625+%29%29%2F2%5C8+=+-3 ALIGN=MIDDLE  ALT=\"a%5B2%5D+=+%28-%2823%29-sqrt%28+625+%29%29%2F2%5C8+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <BR>\n" );
document.write( "    Quadratic expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8a%5E2%2B23a%2B-3 ALIGN=MIDDLE  ALT=\"8a%5E2%2B23a%2B-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be factored:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8a%5E2%2B23a%2B-3+=+8%28a-0.125%29%2A%28a--3%29 ALIGN=MIDDLE  ALT=\"8a%5E2%2B23a%2B-3+=+8%28a-0.125%29%2A%28a--3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  Again, the answer is: 0.125, -3.\n" );
document.write( "Here's your graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+8%2Ax%5E2%2B23%2Ax%2B-3+%29 ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+8%2Ax%5E2%2B23%2Ax%2B-3+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ></TD></TR>\n" );
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