document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=389838>Question 389838</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a quadratic equation with integral coefficients whose roots are the squares of the roots of 2x^2 - 3x - 5 = 0 (show your solution) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #276386 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=276386\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a quadratic equation with integral coefficients whose roots are the squares of the roots of 2x^2 - 3x - 5 = 0<BR>\n" );
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document.write( "Find the roots of 2x^2 - 3x - 5 = 0<BR>\n" );
document.write( "x = -1, 5/2<BR>\n" );
document.write( "The squares are 1 and 25/4<BR>\n" );
document.write( "--> (x-1)*(x-25/4) = 0<BR>\n" );
document.write( "(x-1)*(4x-25) = 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+-+29x+%2B+25+=+0 ALIGN=MIDDLE  ALT=\"4x%5E2+-+29x+%2B+25+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The general solution appears to be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2x%5E2+-+%28a%5E2%2Bc%5E2%29x+%2B+c%5E2+=+0 ALIGN=MIDDLE  ALT=\"a%5E2x%5E2+-+%28a%5E2%2Bc%5E2%29x+%2B+c%5E2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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