document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149831>Question 149831</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Explain why a^2 + b^2 cannot be factored.\r<BR>\n" );
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document.write( "2. Find a value for k that will make 4x^2 + 6.4x + k  a perfect square. Describe the procedure that was used that was not trial and error.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109972 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=109972\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Explain why a^2 + b^2 cannot be factored.<BR>\n" );
document.write( "There is no common factor.<BR>\n" );
document.write( "It is not a \"difference of squares\".<BR>\n" );
document.write( "It is not a trinomial.<BR>\n" );
document.write( "If it was the product of two binomials the factor form would be:<BR>\n" );
document.write( "(a + b)(a+b)<BR>\n" );
document.write( "But (a+b)^2 = a^2 + 2ab + b^2.<BR>\n" );
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document.write( "It is factorable in the complex number system.<BR>\n" );
document.write( "a^2 + b^2 = (a+bi)(a-bi)<BR>\n" );
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document.write( "Find a value for k that will make 4x^2 + 6.4x + k a perfect square. Describe the procedure that was used that was not trial and error. <BR>\n" );
document.write( "4x^2 + 6.4x + k<BR>\n" );
document.write( "sqrt(4x^2) = 2x<BR>\n" );
document.write( "sqrt(k)<BR>\n" );
document.write( "2(2x)sqrt(k) = 6.4x<BR>\n" );
document.write( "4xsqrt(k) = 6.4x<BR>\n" );
document.write( "sqrt(k) = 1.6<BR>\n" );
document.write( "k = 2.56<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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