document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972553>Question 972553</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of twice the square of a number and 7 times the number equals 15. What is the number?\r<BR>\n" );
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document.write( "Twice the square of a number equals the sum of 5 times the number and 17. Find the number \r<BR>\n" );
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document.write( "One number is 3 larger than another and the sum of their square is 269.Find the number. \r<BR>\n" );
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document.write( "Please help me!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #594855 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=594855\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of twice the square of a number and 7 times the number equals 15. What is the number?<BR>\n" );
document.write( "2x^2 + 7x = 15<BR>\n" );
document.write( "2x^2 + 7x - 15 = 0<BR>\n" );
document.write( "2x^2 + 10x-3x - 15 = 0<BR>\n" );
document.write( "2x(x+5)-3(x+5) = 0<BR>\n" );
document.write( "(x+5)(2x-3) = 0<BR>\n" );
document.write( "x = -5 or x = 3/2<BR>\n" );
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document.write( "Twice the square of a number equals the sum of 5 times the number and 17. Find the number.<BR>\n" );
document.write( "2x^2 = 5x+17<BR>\n" );
document.write( "2x^2 - 5x - 17 = 0<BR>\n" );
document.write( "x = [5 +- sqrt(25-4*2*-17)]/4<BR>\n" );
document.write( "x = [5+-sqrt(161)]/4<BR>\n" );
document.write( "x = [5+-12.69]/4<BR>\n" );
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document.write( "One number is 3 larger than another and the sum of their square is 269.Find the number.<BR>\n" );
document.write( "a = b + 3<BR>\n" );
document.write( "a^2 + b^2 = 269<BR>\n" );
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document.write( "(b+3)^2 + b^2 = 269<BR>\n" );
document.write( "2b^2 + 6b = 260<BR>\n" );
document.write( "b^2 + 3b -130 = 0<BR>\n" );
document.write( "(b+13)(b-10) = 0<BR>\n" );
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document.write( "If b = -13, a = -10<BR>\n" );
document.write( "If b = 10, a = 13<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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