document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=97425>Question 97425</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am new to this subject and having difficulty in solving these problems. Please kindly help me.  \r<BR>\n" );
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document.write( "1.  Find three consequtive integers such that the sum of their squares is 77.3 \r<BR>\n" );
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document.write( "2.  solve equation w^3+5w^2-w=5\r<BR>\n" );
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document.write( "3.  Factor completely  z^4-81\r<BR>\n" );
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document.write( "Thank you for the help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #70892 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=70892\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Find three consequtive integers such that the sum of their squares is 77.3 <BR>\n" );
document.write( "No solution.  There are no three integers whose sum is 77.3<BR>\n" );
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document.write( "2. solve equation w^3+5w^2-w=5<BR>\n" );
document.write( "w^3+5W^2-w-5 = 0<BR>\n" );
document.write( "The coefficients sum to zero so 1 is a root and (x-1) is a factor.<BR>\n" );
document.write( "Use synthetic division to find the quadratic factor:<BR>\n" );
document.write( "1)....1....5....-1....-5<BR>\n" );
document.write( "........1....6.....5...|..0\r<BR>\n" );
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document.write( "Remainder = 0<BR>\n" );
document.write( "Quotient = x^2+6x+5 which factors as (x+5)(x+1)<BR>\n" );
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document.write( "(w-1)(w+1)(w+5)=0<BR>\n" );
document.write( "w=1 or w=-1 or w=-5 <BR>\n" );
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document.write( "3. Factor completely z^4-81 <BR>\n" );
document.write( "= (z^4 - 3^4)<BR>\n" );
document.write( "= (z^+9)(z^2-9)<BR>\n" );
document.write( "= (z^2+9)(z+3)(z-3)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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