document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=351681>Question 351681</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this probelm\r<BR>\n" );
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document.write( "five more than the square of a number is six times the number. Find all such numbers. </SPAN>\n" );
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document.write( " Let the number is x.\r<BR>\n" );
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document.write( " now according to question as 5 more than the square of a number ( i.e 5 + x*x )<BR>\n" );
document.write( "is 6 times the number ( i.e 6x )\r<BR>\n" );
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document.write( "so, 5 + x^2 = 6x<BR>\n" );
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document.write( " =>  x^2 + 5 -6x =0 \r<BR>\n" );
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document.write( " =>  x^2 - 6x +5 = 0\r<BR>\n" );
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document.write( " =>  x^2 -5x -x + 5 = 0    <BR>\n" );
document.write( "                     (here we factorize 5 such that it become -6 after addition)\r<BR>\n" );
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document.write( "now x(x -5) -1 (x -5) =0<BR>\n" );
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document.write( "=>  (x-5) (x -1) = 0\r<BR>\n" );
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document.write( "so, x-5 = 0   or        x-1 =0<BR>\n" );
document.write( "     x = 5              x = 1\r<BR>\n" );
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document.write( "so, required numbers are 1 and 5.\r<BR>\n" );
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document.write( "  Sometimes there may be typing mistake in solution of a problem, so please ignore it. Understand the concept and try the problem yourself.  </SPAN>\n" );
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