document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=89972>Question 89972</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve by using the quadratic formula\r<BR>\n" );
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document.write( "x^2+x-2=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #65306 by </B><A HREF=/tutors/aboutme.mpl?userid=uksraj><B>uksraj(9)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=uksraj><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=65306\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2+x-2=0\r<BR>\n" );
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document.write( "the standard form of quadratic equation is <BR>\n" );
document.write( "ax^2+bx+c=0<BR>\n" );
document.write( "comparing standard form with given equation we get<BR>\n" );
document.write( "a=1; b=1 & c=-2\r<BR>\n" );
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document.write( "the standard solution is\r<BR>\n" );
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document.write( "Solution by SOLVE quadratic equation with variable<BR>\n" );
document.write( "Quadratic equation  (in our case ) has the following solutons:\r<BR>\n" );
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document.write( "For these solutions to exist, the discriminant  should not be a negative number.\r<BR>\n" );
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document.write( "First, we need to compute the discriminant : .\r<BR>\n" );
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document.write( "Discriminant d=9 is greater than zero. That means that there are two solutions: .\r<BR>\n" );
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document.write( "Quadratic expression  can be factored:\r<BR>\n" );
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document.write( "Again, the answer is: 2, -1. Here's your graph:<BR>\n" );
document.write( " <BR>\n" );
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document.write( "by factorisation <BR>\n" );
document.write( "x^2+2x-x-2=0<BR>\n" );
document.write( "x(x+2)-1(x+2)=0<BR>\n" );
document.write( "(x-1)(x+2)=0<BR>\n" );
document.write( "x=1<BR>\n" );
document.write( "x=-2 </SPAN>\n" );
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