document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=80798>Question 80798</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can some one please help me i have to solve by using the quadratic formula<BR>\n" );
document.write( "3x^2=11x+4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57960 by </B><A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><B>praseenakos@yahoo.com(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><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=praseenakos@yahoo.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=57960\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> QUESTION:\r<BR>\n" );
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document.write( "solve by using the quadratic formula<BR>\n" );
document.write( "3x^2=11x+4\r<BR>\n" );
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document.write( "ANSWER:\r<BR>\n" );
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document.write( "General form of a quadratic equation is,\r<BR>\n" );
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document.write( "ax^2 + bx + c = 0 ----------------(1)\r<BR>\n" );
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document.write( "Given equation is,\r<BR>\n" );
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document.write( "3x^2=11x+4\r<BR>\n" );
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document.write( "This can be written in the standered form by transforming  each term on the right side to left side as follows:\r<BR>\n" );
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document.write( "3x^2 - 11x - 4 = 0 -----------------(2)\r<BR>\n" );
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document.write( "Compare (1) and (2).... we have,\r<BR>\n" );
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document.write( "a = 3 , b = -11 and c = -4\r<BR>\n" );
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document.write( "Using quadratic formula, the solution of this equation is given by,\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%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Substitute the values of a, b and c in this formula.... we have,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28+-%28-11%29+%2B-+sqrt%28+%28-11%29%5E2-4%2A3%2A%28-4%29+%29%29%2F%282%2A3%29 ALIGN=MIDDLE  ALT=\"x+=+%28+-%28-11%29+%2B-+sqrt%28+%28-11%29%5E2-4%2A3%2A%28-4%29+%29%29%2F%282%2A3%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+=+%2811+%2B-+sqrt%28+121%2B48+%29%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%2811+%2B-+sqrt%28+121%2B48+%29%29%2F%286%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+=+%2811+%2B-+sqrt%28+169%29%29%2F%286%29+ ALIGN=MIDDLE  ALT=\"x+=+%2811+%2B-+sqrt%28+169%29%29%2F%286%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+=+%2811+%2B-+13%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%2811+%2B-+13%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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document.write( "==> x = ( 11 + 13 )/6    or x = (11 - 13 ) /6\r<BR>\n" );
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document.write( "==> x = 24/6   or x = -2/6\r<BR>\n" );
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document.write( "==> x = 4   or   x = -1/3 , which is the required solution.\r<BR>\n" );
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document.write( "Hope you understood.\r<BR>\n" );
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document.write( "Regards.\r<BR>\n" );
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document.write( "Praseena.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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