document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=892479>Question 892479</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the difference between two numbers is 3.If the square of the smaller number is equal to 4 times the larger number, find the numbers.<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 #540521 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.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=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=540521\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = larger number<BR>\n" );
document.write( "y = smaller number\r<BR>\n" );
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document.write( "x - y = 3 {difference between two numbers is 3<BR>\n" );
document.write( "y² = 4x {square of smaller is equal to 4 times the larger\r<BR>\n" );
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document.write( "y = x - 3 {added y to each side in top original equation}\r<BR>\n" );
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document.write( "(x - 3)² = 4x {substituted (x - 3), in for y, into bottom original equation}<BR>\n" );
document.write( "x² - 6x + 9 = 4x {squared the binomial by multiplying by itself}<BR>\n" );
document.write( "x² - 10x + 9 = 0 {subtracted 4x from each side}<BR>\n" );
document.write( "(x - 9)(x - 1) = 0 {factored into two binomials}<BR>\n" );
document.write( "x - 9 = 0 or x - 1 = 0 {set each factor equal to 0}<BR>\n" );
document.write( "x = 9 or x = 1 {solved each equation for x}\r<BR>\n" );
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document.write( "y = x - 3<BR>\n" );
document.write( "y = 9 - 3 or y = 1 - 3 {substituted 9 and 1 for x into y = x - 3}<BR>\n" );
document.write( "y = 6 or y = -2\r<BR>\n" );
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document.write( "9 and 6<BR>\n" );
document.write( "or <BR>\n" );
document.write( "1 and -2 are the sets of numbers<BR>\n" );
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