document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=826089>Question 826089</A>: <I><SPAN STYLE=\"word-break: break-all;\"> State the value(s) of k that make each of the following a perfect square.\r<BR>\n" );
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document.write( "A)25x^2-70x+k<BR>\n" );
document.write( "B)x^2+x+k<BR>\n" );
document.write( "C)81x^2+kx+36<BR>\n" );
document.write( "D)kx^2-48x+64\r<BR>\n" );
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document.write( "Thank you in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #497855 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=497855\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%5E2-70x%2Bk=0 ALIGN=MIDDLE  ALT=\"25x%5E2-70x%2Bk=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825x%5E2-70x%29%2Bk=0 ALIGN=MIDDLE  ALT=\"%2825x%5E2-70x%29%2Bk=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  complete the square\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825x%5E2-70x%2B+_+%29+-+_+%2Bk=0 ALIGN=MIDDLE  ALT=\"%2825x%5E2-70x%2B+_+%29+-+_+%2Bk=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > add a number in parentheses and then subtract it after parentheses\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825x-70x%2B49%29-49%2Bk=0 ALIGN=MIDDLE  ALT=\"%2825x-70x%2B49%29-49%2Bk=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x-7%29%5E2-49%2Bk=0 ALIGN=MIDDLE  ALT=\"%285x-7%29%5E2-49%2Bk=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > =>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=49 ALIGN=MIDDLE  ALT=\"k=49\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, the perfect square is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x-7%29%5E2=0%7D%7D%5D+which+is+equal+to+%0D%0A%0D%0A%7B%7B%7B25x%5E2-70+x%2B49 ALIGN=MIDDLE  ALT=\"%285x-7%29%5E2=0%7D%7D%5D+which+is+equal+to+%0D%0A%0D%0A%7B%7B%7B25x%5E2-70+x%2B49\"   DISABLED_style= \"max-width:90%; height:auto;\" > in expanded form\r<BR>\n" );
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document.write( "B.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx%2Bk=0 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%2Bk=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2Bx%29%2Bk=0 ALIGN=MIDDLE  ALT=\"%28x%5E2%2Bx%29%2Bk=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  complete the square\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2Bx%2B1%2F4%29-1%2F4%2Bk=0 ALIGN=MIDDLE  ALT=\"%28x%5E2%2Bx%2B1%2F4%29-1%2F4%2Bk=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%2F2%29%5E2-1%2F4%2Bk=0 ALIGN=MIDDLE  ALT=\"%28x%2B1%2F2%29%5E2-1%2F4%2Bk=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > =>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=1%2F4 ALIGN=MIDDLE  ALT=\"k=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, the perfect square is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%2F2%29%5E2=0%7D%7D%5D+which+is+equal+to+%0D%0A%0D%0A%7B%7B%7Bx%5E2%2Bx%2B1%2F4=0 ALIGN=MIDDLE  ALT=\"%28x%2B1%2F2%29%5E2=0%7D%7D%5D+which+is+equal+to+%0D%0A%0D%0A%7B%7B%7Bx%5E2%2Bx%2B1%2F4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > in expanded form\r<BR>\n" );
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document.write( "C)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81x%5E2%2Bkx%2B36 ALIGN=MIDDLE  ALT=\"81x%5E2%2Bkx%2B36\"   DISABLED_style= \"max-width:90%; height:auto;\" > or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289x%29%5E2%2Bkx%2B6%5E2 ALIGN=MIDDLE  ALT=\"%289x%29%5E2%2Bkx%2B6%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >...as you can see, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equal to a product of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A9 ALIGN=MIDDLE  ALT=\"2%2A9\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=108 ALIGN=MIDDLE  ALT=\"k=108\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289x%29%5E2%2B108x%2B36=%289x%2B6%29%5E2 ALIGN=MIDDLE  ALT=\"%289x%29%5E2%2B108x%2B36=%289x%2B6%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I hope you can do the last one following these examples....<BR>\n" );
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