document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=154336>Question 154336</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,\r<BR>\n" );
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document.write( "Can someone please help me with the following:\r<BR>\n" );
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document.write( "I have two equations that I need to solve using the quadratic equation but, I really having problems solving them.\r<BR>\n" );
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document.write( "1. 5/6x^2-7x-6/5=0\r<BR>\n" );
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document.write( "2. 3^1/2y^2-4y-7(3)^1/2=0\r<BR>\n" );
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document.write( "Thank you so much, I am sorry for being so much trouble but I been out of school for 15 years.\r<BR>\n" );
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document.write( "Jimmy </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #113638 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=113638\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll do the first one to get you started.\r<BR>\n" );
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document.write( "# 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F6%29x%5E2-7x-6%2F5=0 ALIGN=MIDDLE  ALT=\"%285%2F6%29x%5E2-7x-6%2F5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%28%285%2Fcross%286%29%29x%5E2-7x-6%2Fcross%285%29%29=30%280%29 ALIGN=MIDDLE  ALT=\"30%28%285%2Fcross%286%29%29x%5E2-7x-6%2Fcross%285%29%29=30%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 30 to clear the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%5E2-210x-36=0 ALIGN=MIDDLE  ALT=\"25x%5E2-210x-36=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute and multiply\r<BR>\n" );
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document.write( "Notice we have a quadratic equation in the form of <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;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=25 ALIGN=MIDDLE  ALT=\"a=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-210 ALIGN=MIDDLE  ALT=\"b=-210\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=-36 ALIGN=MIDDLE  ALT=\"c=-36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let's use the quadratic formula to solve for x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the quadratic formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-210%29+%2B-+sqrt%28+%28-210%29%5E2-4%2825%29%28-36%29+%29%29%2F%282%2825%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28-%28-210%29+%2B-+sqrt%28+%28-210%29%5E2-4%2825%29%28-36%29+%29%29%2F%282%2825%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=25 ALIGN=MIDDLE  ALT=\"a=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-210 ALIGN=MIDDLE  ALT=\"b=-210\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=-36 ALIGN=MIDDLE  ALT=\"c=-36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28210+%2B-+sqrt%28+%28-210%29%5E2-4%2825%29%28-36%29+%29%29%2F%282%2825%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28210+%2B-+sqrt%28+%28-210%29%5E2-4%2825%29%28-36%29+%29%29%2F%282%2825%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Negate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-210 ALIGN=MIDDLE  ALT=\"-210\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=210 ALIGN=MIDDLE  ALT=\"210\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28210+%2B-+sqrt%28+44100-4%2825%29%28-36%29+%29%29%2F%282%2825%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28210+%2B-+sqrt%28+44100-4%2825%29%28-36%29+%29%29%2F%282%2825%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-210 ALIGN=MIDDLE  ALT=\"-210\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=44100 ALIGN=MIDDLE  ALT=\"44100\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28210+%2B-+sqrt%28+44100--3600+%29%29%2F%282%2825%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28210+%2B-+sqrt%28+44100--3600+%29%29%2F%282%2825%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2825%29%28-36%29 ALIGN=MIDDLE  ALT=\"4%2825%29%28-36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3600 ALIGN=MIDDLE  ALT=\"-3600\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28210+%2B-+sqrt%28+44100%2B3600+%29%29%2F%282%2825%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28210+%2B-+sqrt%28+44100%2B3600+%29%29%2F%282%2825%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2844100--3600%29 ALIGN=MIDDLE  ALT=\"sqrt%2844100--3600%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2844100%2B3600%29 ALIGN=MIDDLE  ALT=\"sqrt%2844100%2B3600%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28210+%2B-+sqrt%28+47700+%29%29%2F%282%2825%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28210+%2B-+sqrt%28+47700+%29%29%2F%282%2825%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=44100 ALIGN=MIDDLE  ALT=\"44100\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3600 ALIGN=MIDDLE  ALT=\"3600\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=47700 ALIGN=MIDDLE  ALT=\"47700\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28210+%2B-+sqrt%28+47700+%29%29%2F%2850%29 ALIGN=MIDDLE  ALT=\"x+=+%28210+%2B-+sqrt%28+47700+%29%29%2F%2850%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25 ALIGN=MIDDLE  ALT=\"25\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50 ALIGN=MIDDLE  ALT=\"50\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28210+%2B-+30%2Asqrt%2853%29%29%2F%2850%29 ALIGN=MIDDLE  ALT=\"x+=+%28210+%2B-+30%2Asqrt%2853%29%29%2F%2850%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify the square root  (note: If you need help with simplifying square roots, check out this <a  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Radicals/simplifying-square-roots.solver> solver</a>)  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28210%2B30%2Asqrt%2853%29%29%2F%2850%29 ALIGN=MIDDLE  ALT=\"x+=+%28210%2B30%2Asqrt%2853%29%29%2F%2850%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28210-30%2Asqrt%2853%29%29%2F%2850%29 ALIGN=MIDDLE  ALT=\"x+=+%28210-30%2Asqrt%2853%29%29%2F%2850%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the expression.  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2821%2B3%2Asqrt%2853%29%29%2F%285%29 ALIGN=MIDDLE  ALT=\"x+=+%2821%2B3%2Asqrt%2853%29%29%2F%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2821-3%2Asqrt%2853%29%29%2F%285%29 ALIGN=MIDDLE  ALT=\"x+=+%2821-3%2Asqrt%2853%29%29%2F%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "So the answers are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2821%2B3%2Asqrt%2853%29%29%2F%285%29 ALIGN=MIDDLE  ALT=\"x+=+%2821%2B3%2Asqrt%2853%29%29%2F%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2821-3%2Asqrt%2853%29%29%2F%285%29 ALIGN=MIDDLE  ALT=\"x+=+%2821-3%2Asqrt%2853%29%29%2F%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which approximate to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8.568 ALIGN=MIDDLE  ALT=\"x=8.568\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-0.168 ALIGN=MIDDLE  ALT=\"x=-0.168\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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