document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=154374>Question 154374</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "I tried to solve the following problem and this is what I got can someone tell me if its right?\r<BR>\n" );
document.write( "\n" );
document.write( "1. 3^1/2(y)^2-4y-(3)^1/2=0\r<BR>\n" );
document.write( "\n" );
document.write( " Which is our graphical form   3^1/2y^2-4y-(7(3)^1/2=0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( "simplifies to 3/2y^2-4*y-21/2=0 \r<BR>\n" );
document.write( "\n" );
document.write( "Explanation:\r<BR>\n" );
document.write( "\n" );
document.write( "Look at 3^1/2y^2-4y-(7(3)^1/2=0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Replace constants in factor: 3 ,1 with 3\r<BR>\n" );
document.write( "\n" );
document.write( "It becomes 3/ 2*y^2 -4y  7*3^1/2=0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Look at 3/ 2*y^2 -4y 7*3^1/2=0.\r<BR>\n" );
document.write( "\n" );
document.write( "Replace constants in factor: {3},1 with  3\r<BR>\n" );
document.write( "\n" );
document.write( "It becomes: 3/2*y^2 -4y -7*3/2 =0\r<BR>\n" );
document.write( "\n" );
document.write( "Look at: 3 /2*y^2 -4y -7*3/2 =0\r<BR>\n" );
document.write( "\n" );
document.write( "Multiplied numerator integers 7*3 to get 21\r<BR>\n" );
document.write( "\n" );
document.write( "It becomes 3 /2*y^2 -4y -21/2 =0\r<BR>\n" );
document.write( "\n" );
document.write( "Result: 3 / 2*y^2 -4y -21/2=0  \r<BR>\n" );
document.write( "\n" );
document.write( "Again, I sorry for the trouble I am causing thank you so much for your help.\r<BR>\n" );
document.write( "\n" );
document.write( "Jimmy\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #113672 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=113672\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I don't know what to make of your work, but here's the way that I would do it:\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=3%5E%281%2F2%29y%5E2-4y-%283%29%5E%281%2F2%29=0+ ALIGN=MIDDLE  ALT=\"3%5E%281%2F2%29y%5E2-4y-%283%29%5E%281%2F2%29=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\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=sqrt%283%29y%5E2-4y-sqrt%283%29=0+ ALIGN=MIDDLE  ALT=\"sqrt%283%29y%5E2-4y-sqrt%283%29=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"3%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Notice we have a quadratic equation in the form of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ay%5E2%2Bby%2Bc ALIGN=MIDDLE  ALT=\"ay%5E2%2Bby%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=sqrt%283%29 ALIGN=MIDDLE  ALT=\"a=sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-4 ALIGN=MIDDLE  ALT=\"b=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=-sqrt%283%29 ALIGN=MIDDLE  ALT=\"c=-sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let's use the quadratic formula to solve for y\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=y+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"y+=+%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" );
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=y+=+%28-%28-4%29+%2B-+sqrt%28+%284%29%5E2-4%28sqrt%283%29%29%28-sqrt%283%29%29+%29%29%2F%282%2Asqrt%283%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=sqrt%283%29 ALIGN=MIDDLE  ALT=\"a=sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-4 ALIGN=MIDDLE  ALT=\"b=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=-sqrt%283%29 ALIGN=MIDDLE  ALT=\"c=-sqrt%283%29\"   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=y+=+%284+%2B-+sqrt%28+%284%29%5E2-4%28sqrt%283%29%29%28-sqrt%283%29%29+%29%29%2F%282%2Asqrt%283%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Negate -4 to get 4\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=y+=+%284+%2B-+sqrt%28+16-4%28sqrt%283%29%29%28-sqrt%283%29%29+%29%29%2F%282%2Asqrt%283%29%29 ALIGN=MIDDLE  ALT=\"y+=+%284+%2B-+sqrt%28+16-4%28sqrt%283%29%29%28-sqrt%283%29%29+%29%29%2F%282%2Asqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square 4 to get 16\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=y+=+%284+%2B-+sqrt%28+16-4%28-3%29+%29%29%2F%282%2Asqrt%283%29%29 ALIGN=MIDDLE  ALT=\"y+=+%284+%2B-+sqrt%28+16-4%28-3%29+%29%29%2F%282%2Asqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%283%29 ALIGN=MIDDLE  ALT=\"-sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%283%29sqrt%283%29=-sqrt%283%2A3%29=-sqrt%283%5E2%29=-3 ALIGN=MIDDLE  ALT=\"-sqrt%283%29sqrt%283%29=-sqrt%283%2A3%29=-sqrt%283%5E2%29=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<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=y+=+%284+%2B-+sqrt%28+16%2B12+%29%29%2F%282%2Asqrt%283%29%29 ALIGN=MIDDLE  ALT=\"y+=+%284+%2B-+sqrt%28+16%2B12+%29%29%2F%282%2Asqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply -4 and -3 to get 12\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=y+=+%284+%2B-+sqrt%28+28+%29%29%2F%282%2Asqrt%283%29%29 ALIGN=MIDDLE  ALT=\"y+=+%284+%2B-+sqrt%28+28+%29%29%2F%282%2Asqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add\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=y+=+%284+%2B-+2%2Asqrt%28+7+%29%29%2F%282%2Asqrt%283%29%29 ALIGN=MIDDLE  ALT=\"y+=+%284+%2B-+2%2Asqrt%28+7+%29%29%2F%282%2Asqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify the square root\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=y+=+%284+%2B+2%2Asqrt%28+7+%29%29%2F%282%2Asqrt%283%29%29 ALIGN=MIDDLE  ALT=\"y+=+%284+%2B+2%2Asqrt%28+7+%29%29%2F%282%2Asqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-4+-+2%2Asqrt%28+7+%29%29%2F%282%2Asqrt%283%29%29 ALIGN=MIDDLE  ALT=\"y+=+%28-4+-+2%2Asqrt%28+7+%29%29%2F%282%2Asqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the \"plus/minus\"\r<BR>\n" );
document.write( "<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=y+=+%28%284+%2B+2%2Asqrt%28+7+%29%29%2F%282%2Asqrt%283%29%29%29%28sqrt%283%29%2Fsqrt%283%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >  or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28%284+-+2%2Asqrt%28+7+%29%29%2F%282%2Asqrt%283%29%29%29%28sqrt%283%29%2Fsqrt%283%29%29 ALIGN=MIDDLE  ALT=\"y+=+%28%284+-+2%2Asqrt%28+7+%29%29%2F%282%2Asqrt%283%29%29%29%28sqrt%283%29%2Fsqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both numerator and denominator by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to rationalize the denominator\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=y+=+%28%28sqrt%283%29%29%284+%2B+2%2Asqrt%28+7+%29%29%29%2F%282%2Asqrt%283%29sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"y+=+%28%28sqrt%283%29%29%284+%2B+2%2Asqrt%28+7+%29%29%29%2F%282%2Asqrt%283%29sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28%28sqrt%283%29%29%284+-+2%2Asqrt%28+7+%29%29%29%2F%282%2Asqrt%283%29sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"y+=+%28%28sqrt%283%29%29%284+-+2%2Asqrt%28+7+%29%29%29%2F%282%2Asqrt%283%29sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions\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=y+=+%28%28sqrt%283%29%29%284+%2B+2%2Asqrt%28+7+%29%29%29%2F%282%2A%283%29%29 ALIGN=MIDDLE  ALT=\"y+=+%28%28sqrt%283%29%29%284+%2B+2%2Asqrt%28+7+%29%29%29%2F%282%2A%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28%28sqrt%283%29%29%284+-+2%2Asqrt%28+7+%29%29%29%2F%282%2A%283%29%29 ALIGN=MIDDLE  ALT=\"y+=+%28%28sqrt%283%29%29%284+-+2%2Asqrt%28+7+%29%29%29%2F%282%2A%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\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=y+=+%28%28sqrt%283%29%29%284+%2B+2%2Asqrt%28+7+%29%29%29%2F%286%29 ALIGN=MIDDLE  ALT=\"y+=+%28%28sqrt%283%29%29%284+%2B+2%2Asqrt%28+7+%29%29%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28%28sqrt%283%29%29%284+-+2%2Asqrt%28+7+%29%29%29%2F%286%29 ALIGN=MIDDLE  ALT=\"y+=+%28%28sqrt%283%29%29%284+-+2%2Asqrt%28+7+%29%29%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply again\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=y+=+%284%2Asqrt%283%29+%2B+2%2Asqrt%283%29sqrt%28+7+%29%29%2F%286%29 ALIGN=MIDDLE  ALT=\"y+=+%284%2Asqrt%283%29+%2B+2%2Asqrt%283%29sqrt%28+7+%29%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%284%2Asqrt%283%29+-+2%2Asqrt%283%29sqrt%28+7+%29%29%2F%286%29 ALIGN=MIDDLE  ALT=\"y+=+%284%2Asqrt%283%29+-+2%2Asqrt%283%29sqrt%28+7+%29%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
document.write( "<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=y+=+%284%2Asqrt%283%29+%2B+2%2Asqrt%28+21+%29%29%2F%286%29 ALIGN=MIDDLE  ALT=\"y+=+%284%2Asqrt%283%29+%2B+2%2Asqrt%28+21+%29%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%284%2Asqrt%283%29+-+2%2Asqrt%28+21+%29%29%2F%286%29 ALIGN=MIDDLE  ALT=\"y+=+%284%2Asqrt%283%29+-+2%2Asqrt%28+21+%29%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply \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=y+=+%282%2Asqrt%283%29+%2B+sqrt%28+21+%29%29%2F%283%29 ALIGN=MIDDLE  ALT=\"y+=+%282%2Asqrt%283%29+%2B+sqrt%28+21+%29%29%2F%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%282%2Asqrt%283%29+-+sqrt%28+21+%29%29%2F%283%29 ALIGN=MIDDLE  ALT=\"y+=+%282%2Asqrt%283%29+-+sqrt%28+21+%29%29%2F%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "================================================================\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Answer:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the solutions are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%282%2Asqrt%283%29+%2B+sqrt%28+21+%29%29%2F%283%29 ALIGN=MIDDLE  ALT=\"y+=+%282%2Asqrt%283%29+%2B+sqrt%28+21+%29%29%2F%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%282%2Asqrt%283%29+-+sqrt%28+21+%29%29%2F%283%29 ALIGN=MIDDLE  ALT=\"y+=+%282%2Asqrt%283%29+-+sqrt%28+21+%29%29%2F%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "which approximate to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2.68223 ALIGN=MIDDLE  ALT=\"y=2.68223\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-0.37282 ALIGN=MIDDLE  ALT=\"y=-0.37282\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );