document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251465>Question 251465</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me to find the roots of the quadratic equation:  w^2+3w-10=0\r<BR>\n" );
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document.write( "Thank you.<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 #183145 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=183145\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your original equation is:\r<BR>\n" );
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document.write( "w^2+3w-10=0\r<BR>\n" );
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document.write( "looks like it should factor to be:\r<BR>\n" );
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document.write( "(w+5) * (w-2) = 0\r<BR>\n" );
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document.write( "multiply (w+5) * (w-2) and you get:\r<BR>\n" );
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document.write( "w^2 - 2w + 5w - 10\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "w^2 + 3w - 10 which is the same as your original equation, confirming that the factors are good.\r<BR>\n" );
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document.write( "your equation becomes:\r<BR>\n" );
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document.write( "(w+5)*(w-2) = 0\r<BR>\n" );
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document.write( "this means that:\r<BR>\n" );
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document.write( "either w+5 = 0 or w-2 = 0 or both.\r<BR>\n" );
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document.write( "this means that:\r<BR>\n" );
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document.write( "w = -5 or w = 2\r<BR>\n" );
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document.write( "substitute in your original equation to confirm.\r<BR>\n" );
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document.write( "your original equation is:\r<BR>\n" );
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document.write( "w^2+3w-10=0\r<BR>\n" );
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document.write( "when w = -5, this equation becomes 25 - 15 - 10 = 0\r<BR>\n" );
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document.write( "when w = 2, this equation becomes 4 + 6 - 10 = 0\r<BR>\n" );
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document.write( "both equations are true confirming the values for x are both good.\r<BR>\n" );
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document.write( "your answer is:\r<BR>\n" );
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document.write( "the roots of this equation are:\r<BR>\n" );
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document.write( "w = -5 and w = 2\r<BR>\n" );
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document.write( "a graph of your original equation is shown below confirming graphically that these roots are accurate.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-10%2C10%2C-20%2C20%2Cx%5E2%2B3x-10%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-10%2C10%2C-20%2C20%2Cx%5E2%2B3x-10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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