document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1023025>Question 1023025</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello my name is Juan I'm in college, but I have a big problem I have 3 questions  \r<BR>\n" );
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document.write( "The question says Solve algebraically show all work put your answer on the line. For calculation and final answer, round to the nearest hundredths. Make sure your handwriting is legible to me. check your answers\r<BR>\n" );
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document.write( "solve write your solutions as ordered pairs \r<BR>\n" );
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document.write( "1) x^2+8x-12=0\r<BR>\n" );
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document.write( "I solved like this (x-6) (x-2) or (x+6)(x-2)<BR>\n" );
document.write( " I have try to also solved like this \r<BR>\n" );
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document.write( "x^2+8x-12=0\r<BR>\n" );
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document.write( "x^2+8x=12\r<BR>\n" );
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document.write( "x(x+8)=12\r<BR>\n" );
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document.write( "x(x+8)-12=0/x\r<BR>\n" );
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document.write( "x+8-12=0 \r<BR>\n" );
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document.write( "x-4=0\r<BR>\n" );
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document.write( "x=4 Now I don't know if this answer is correct please help me I have tried everything but I still cannot found the answer\r<BR>\n" );
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document.write( "the next question is \r<BR>\n" );
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document.write( "5x^2+19x=35\r<BR>\n" );
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document.write( "what I have tried is almost the same as the last one\r<BR>\n" );
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document.write( "5x^2+19x=35\r<BR>\n" );
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document.write( "5x(x+19)=35\r<BR>\n" );
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document.write( "x+19=35/5\r<BR>\n" );
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document.write( "x+19=7\r<BR>\n" );
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document.write( "x+19-7=0\r<BR>\n" );
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document.write( "x+12=0\r<BR>\n" );
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document.write( "x=-12\r<BR>\n" );
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document.write( "and the third question is \r<BR>\n" );
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document.write( "-6x^2-x+5=0\r<BR>\n" );
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document.write( "(-1)-6x^2-x+5=0\r<BR>\n" );
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document.write( "6x-x+5=0\r<BR>\n" );
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document.write( "(6x-1)(x+5) Please help me I have seriously tried everything \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #638573 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=638573\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello my name is Juan I'm in college, but I have a big problem I have 3 questions <BR>\n" );
document.write( "The question says Solve algebraically show all work put your answer on the line. For calculation and final answer, round to the nearest hundredths. Make sure your handwriting is legible to me. check your answers <BR>\n" );
document.write( "solve write your solutions as ordered pairs <BR>\n" );
document.write( "1) x^2+8x-12=0 <BR>\n" );
document.write( "I solved like this (x-6) (x-2) or (x+6)(x-2)<BR>\n" );
document.write( "I have try to also solved like this \r<BR>\n" );
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document.write( "x^2+8x-12=0 <BR>\n" );
document.write( "x^2+8x=12 <BR>\n" );
document.write( "x(x+8)=12 <BR>\n" );
document.write( "x(x+8)-12=0/x <BR>\n" );
document.write( "x+8-12=0 <BR>\n" );
document.write( "x-4=0 <BR>\n" );
document.write( "x=4 Now I don't know if this answer is correct please help me I have tried everything but I still cannot found the answer <BR>\n" );
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document.write( "Your name is of no interest, it has no effect on the problem.<BR>\n" );
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document.write( "1) x^2+8x-12=0 <BR>\n" );
document.write( "The quadratic cannot be factored --> use the quadratic formula:<BR>\n" );
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document.write( "x^2+8x-12=0<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=solve_quadratic_equation.solver>SOLVE quadratic equation (work shown, graph etc)</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Quadratic equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc=0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > (in our case <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1x%5E2%2B8x%2B-12+=+0 ALIGN=MIDDLE  ALT=\"1x%5E2%2B8x%2B-12+=+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=x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca ALIGN=MIDDLE  ALT=\"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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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" );
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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=%288%29%5E2-4%2A1%2A-12=112 ALIGN=MIDDLE  ALT=\"b%5E2-4ac=%288%29%5E2-4%2A1%2A-12=112\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Discriminant d=112 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+=+%28-8%2B-sqrt%28+112+%29%29%2F2%5Ca ALIGN=MIDDLE  ALT=\"+x%5B12%5D+=+%28-8%2B-sqrt%28+112+%29%29%2F2%5Ca\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+=+%28-%288%29%2Bsqrt%28+112+%29%29%2F2%5C1+=+1.29150262212918 ALIGN=MIDDLE  ALT=\"x%5B1%5D+=+%28-%288%29%2Bsqrt%28+112+%29%29%2F2%5C1+=+1.29150262212918\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D+=+%28-%288%29-sqrt%28+112+%29%29%2F2%5C1+=+-9.29150262212918 ALIGN=MIDDLE  ALT=\"x%5B2%5D+=+%28-%288%29-sqrt%28+112+%29%29%2F2%5C1+=+-9.29150262212918\"   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=1x%5E2%2B8x%2B-12 ALIGN=MIDDLE  ALT=\"1x%5E2%2B8x%2B-12\"   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=1x%5E2%2B8x%2B-12+=+%28x-1.29150262212918%29%2A%28x--9.29150262212918%29 ALIGN=MIDDLE  ALT=\"1x%5E2%2B8x%2B-12+=+%28x-1.29150262212918%29%2A%28x--9.29150262212918%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  Again, the answer is: 1.29150262212918, -9.29150262212918.\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+1%2Ax%5E2%2B8%2Ax%2B-12+%29 ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B8%2Ax%2B-12+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ></TD></TR>\n" );
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