document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=115518>Question 115518</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by factoring.<BR>\n" );
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document.write( "1. 3a squared - 36a + 81 = 0\r<BR>\n" );
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document.write( "2. 5x squared - 45 = 0\r<BR>\n" );
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document.write( "3. 2a squared - a - 21 = 0\r<BR>\n" );
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document.write( "4. 3n squared - 11n + 10 = 0\r<BR>\n" );
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document.write( "5. 2x squared - 7x -9 = 0<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 #84082 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=84082\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.<BR>\n" );
document.write( "3a^2-36a+81=0<BR>\n" );
document.write( "3*81=243 multiply the 1st and last coefficients.<BR>\n" );
document.write( "we need 2 neg. numbers that when multiplied=243 and when added=-36<BR>\n" );
document.write( "-9, -27 are factors of 243 that add to -36. Finding these factors is the only hard part.<BR>\n" );
document.write( "(3a^2-9a)+(-27a+81)=0 Factor in parts. Notice (3a^2-27a)+(-9a+81)=0 gives the same answer.<BR>\n" );
document.write( "3a(a-3)-27(a-3)=0 <BR>\n" );
document.write( "(3a-27)(a-3)=0<BR>\n" );
document.write( "3(a-9)(a-3)=0<BR>\n" );
document.write( "a=9, a=3<BR>\n" );
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document.write( "4.<BR>\n" );
document.write( "3n^2-11n+10=0<BR>\n" );
document.write( "3*10=30<BR>\n" );
document.write( "We need 2 negative numbers that when multiplied=30 and when added=-11<BR>\n" );
document.write( "-5 and -6 fill the bill.<BR>\n" );
document.write( "(3n^2-6n)+(-5n+10)=0<BR>\n" );
document.write( "3n(n-2)-5(n-2)=0<BR>\n" );
document.write( "(3n-5)(n-2)=0<BR>\n" );
document.write( "3n-5=0<BR>\n" );
document.write( "3n=5<BR>\n" );
document.write( "n=5/3, n=2<BR>\n" );
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document.write( "2.<BR>\n" );
document.write( "5x^2-45=0<BR>\n" );
document.write( "5(x^2-9)=0<BR>\n" );
document.write( "5(x+3)(x-3)=0<BR>\n" );
document.write( "x=-3, x=3<BR>\n" );
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document.write( "I did the 3 toughest.<BR>\n" );
document.write( "The other 2 are similar to the 1st 2 I did.<BR>\n" );
document.write( "I'll leave them up to you.<BR>\n" );
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document.write( "Ed\r<BR>\n" );
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