document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204681>Question 204681</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you know if a quadratic equation will have one, two or no solutions? If only given the solution, how do you find a quadratic equation? Is it possible to have different quadratic equations with the same solution? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154474 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=154474\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how do you know if a quadratic equation will have one, two or no solutions? <BR>\n" );
document.write( "Check the determinant: b^2-4ac<BR>\n" );
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document.write( "If only given the solution, how do you find a quadratic equation? <BR>\n" );
document.write( "If a is a solution, (x-a) is a factor<BR>\n" );
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document.write( "Is it possible to have different quadratic equations with the same solution?<BR>\n" );
document.write( "Ans: Yes; y = (x-2)(x+3) and y = 2(x-2)(x+3) are two different equations<BR>\n" );
document.write( "that have the same solutions.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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