document.write( "Question 150584: 1. The square of an interger is 30 more than the integer. Find the integer.\r
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document.write( "I tried.... x^2 = x+30 to get a solution of x=6 and x-5\r
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document.write( "I am unsure if this is the right equation for the problem above.\r
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document.write( "2. The sum of an integer and its square is 30. Find the number.\r
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document.write( "I tried..... x + x^2= 30 to get a solution of x=-6 and x=5\r
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document.write( "Once again I am unsure if this is the right equation for the problem above. \n" );
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Algebra.Com's Answer #110537 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! 1. The square of an interger is 30 more than the integer. Find the integer. \n" ); document.write( "I tried.... x^2 = x+30 to get a solution of x=6 and x-5 \r \n" ); document.write( "\n" ); document.write( "I am unsure if this is the right equation for the problem above. \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Then by all means learn to check your solutions. Remember, when you\r\n" ); document.write( "check a WORD problem, you check each solution in the WORDS, never in \r\n" ); document.write( "the equation, for you might have the right answer to the wrong \r\n" ); document.write( "equation!\r\n" ); document.write( "\r\n" ); document.write( "Here, let's go a-checking. It's easy.\r\n" ); document.write( "\r\n" ); document.write( "The first sentence says:\r\n" ); document.write( "\r\n" ); document.write( ">>...The square of an integer is 30 more than the integer...<<\r\n" ); document.write( "\r\n" ); document.write( "Check that with 6. In other words, is it true that:\r\n" ); document.write( "\r\n" ); document.write( "the square of 6 is 30 more than 6?\r\n" ); document.write( "\r\n" ); document.write( "the square of 6 is 36, and lo and behold, 36 really is 30 \r\n" ); document.write( "more than 6. !!!\r\n" ); document.write( "\r\n" ); document.write( "So we know that 6 is correct.\r\n" ); document.write( "\r\n" ); document.write( "But we still have another solution to check, x=-5\r\n" ); document.write( "\r\n" ); document.write( "Again, the first sentence says:\r\n" ); document.write( "\r\n" ); document.write( ">>...The square of an integer is 30 more than the integer...<<\r\n" ); document.write( "\r\n" ); document.write( "Check that now with -5. In other words, is it true that:\r\n" ); document.write( "\r\n" ); document.write( "the square of -5 is 30 more than 6.\r\n" ); document.write( "\r\n" ); document.write( "the square of -5, or (-5)² is +25 and, holy smokes, +25 \r\n" ); document.write( "really is 30 more than -5. !!!\r\n" ); document.write( "\r\n" ); document.write( "So we know that -5 is also correct.\r\n" ); document.write( "\r\n" ); document.write( "---------------------------------------------\r\n" ); document.write( "\r\n" ); document.write( " \n" ); document.write( "2. The sum of an integer and its square is 30. Find the number. \n" ); document.write( "I tried..... x + x^2= 30 to get a solution of x=-6 and x=5 \n" ); document.write( " \r\n" ); document.write( "Then you should check these two solutions.\r\n" ); document.write( "\r\n" ); document.write( "The first sentence says:\r\n" ); document.write( "\r\n" ); document.write( ">>...The sum of an integer and its square is 30...<<\r\n" ); document.write( "\r\n" ); document.write( "Check that with -6. In other words, is it true that:\r\n" ); document.write( "\r\n" ); document.write( "the sum of -6 and its square is 30?\r\n" ); document.write( "\r\n" ); document.write( "The square of -6 is +36 and heyyy, the sum of -6 and 36 \r\n" ); document.write( "really is 30. !!!\r\n" ); document.write( "\r\n" ); document.write( "So we know that -6 is correct.\r\n" ); document.write( "\r\n" ); document.write( "But we still have another solution to check, x=5\r\n" ); document.write( "\r\n" ); document.write( "So we check that with 5. In other words, is it true that:\r\n" ); document.write( "\r\n" ); document.write( "the sum of 5 and its square is 30?\r\n" ); document.write( "\r\n" ); document.write( "The square of 5 is 25 and whaddayaknow, the sum \r\n" ); document.write( "of 5 and 25 really is 30. !!!\r\n" ); document.write( "\r\n" ); document.write( "So we know that 5 is correct.\r\n" ); document.write( "\r\n" ); document.write( "See how easy it is to check a number back into the \r\n" ); document.write( "words to see if it is the correct answer?\r\n" ); document.write( "\r\n" ); document.write( "---------------------------------------------\r\n" ); document.write( "Edwin\n" ); document.write( " |