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 #594857 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=594857\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> number is x\r<BR>\n" );
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document.write( "2x^2 +7x=15<BR>\n" );
document.write( "2x^2-7x-15=0  I moved the 15 over to make it a quadratic equation =0<BR>\n" );
document.write( "(2x-3) (x+5)=0  factoring, using 5 and 3.<BR>\n" );
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document.write( "x=(3/2), -5<BR>\n" );
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document.write( "Check -5:  50 -35=15<BR>\n" );
document.write( "Check (3/2) :  (9/2) +(21/2)=(30/2)=15<BR>\n" );
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document.write( "Number =x<BR>\n" );
document.write( "2x^2=5x+17<BR>\n" );
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document.write( "do same thing<BR>\n" );
document.write( "2x^2-5x-17=0<BR>\n" );
document.write( "Try quadratic formula<BR>\n" );
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document.write( "(1/4) (5+/- sqrt (25+136))  This is the exact form of x: {-5 +/- sqrt (161)}/4<BR>\n" );
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document.write( "sqrt (161)=12.69<BR>\n" );
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document.write( "(1/4) 17.69=4.42<BR>\n" );
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document.write( "(1/4) (-7.69)=-1.92 ;  x=-1.92,4.42 decimal<BR>\n" );
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document.write( "4.42^2 =19.53<BR>\n" );
document.write( "twice that is 39.06<BR>\n" );
document.write( "-5x=-22.1<BR>\n" );
document.write( "-17 gets to 39.06 ;with rounding\r<BR>\n" );
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document.write( "(-1.92^2)*2=7.37<BR>\n" );
document.write( "-5(-1.92)=9.6<BR>\n" );
document.write( "9.6-17=-7.4  close enough with rounding<BR>\n" );
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document.write( "x is one number<BR>\n" );
document.write( "x+3 the other<BR>\n" );
document.write( "x^2 +x^2 +6x+9    ; (that is (x+3)(x+3)   =269<BR>\n" );
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document.write( "2x^2+6x -260=0<BR>\n" );
document.write( "x^2+3x-130=0  , dividing by 2.<BR>\n" );
document.write( "(x+13)(x-10)=0<BR>\n" );
document.write( "one number is 10, the other is 13<BR>\n" );
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document.write( "squared 10=100<BR>\n" );
document.write( "square 13=169<BR>\n" );
document.write( "sum is 269\r<BR>\n" );
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document.write( "One number is -13, the other is -10<BR>\n" );
document.write( "They do the same thing.  You need both solutions. </SPAN>\n" );
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