document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=60453>Question 60453</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0918091705/algebrahomeworkh>college algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 9x-5x^2=-2\r<BR>\n" );
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document.write( "2x^2-3x=x^2+18\r<BR>\n" );
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document.write( "15x^2+x=2\r<BR>\n" );
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document.write( "x^2-6x+9=-16 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41526 by </B><A HREF=/tutors/aboutme.mpl?userid=asha><B>asha(30)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=asha><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=41526\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">    9x-5x^2=-2<BR>\n" );
document.write( "  5x^2-9x-2=0  taking all the terms to the rightside<BR>\n" );
document.write( "5x^2-10x+x-2=0  by splitting the middle term so that sum is-9 product is-10<BR>\n" );
document.write( "5x(x-2)+1(x-2)=0  taking common terms<BR>\n" );
document.write( "(5x+1)(x-2)=0<BR>\n" );
document.write( "x=-1/5 or x=2 is the answer.\r<BR>\n" );
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document.write( "ii)2x^2-3x=x^2+18<BR>\n" );
document.write( "  2x^2-3x-x^2-18=0   x^2-3x-18=0<BR>\n" );
document.write( "x^2-6x+3x-18=0  splitting the middle term so that sum is-3 and product is-18<BR>\n" );
document.write( "x(x-6)+3(x-6)=0taking common terms<BR>\n" );
document.write( "(x+3)(x-6)=0<BR>\n" );
document.write( "x=-3 or x=6 is the answer.\r<BR>\n" );
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document.write( "iii)15x^2 +x=2   15x^2+x-2=0  taking all the terms to l.h.s.<BR>\n" );
document.write( "15x^2 +6x-5x-2=0   3x(5x=2)-1(5x+2)=0  productis -2 and sum is1 <BR>\n" );
document.write( "(3x-1)(5x+2)=0<BR>\n" );
document.write( "x=1/3 or x=-2/5 is the answer.\r<BR>\n" );
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document.write( "iv)x^2-6x+9=16 taking all teh terms to l.h.s. we get<BR>\n" );
document.write( "  x^2-6x+9-16=0   x^2-6x-7=0<BR>\n" );
document.write( "  x^2-7x+x-7=0   product is -7 and sum is-6<BR>\n" );
document.write( "  x(x-7)+1(x-7)=0 <BR>\n" );
document.write( "  (x-7)(x+1)=0<BR>\n" );
document.write( "   x=-1or x=7 is the answer.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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