document.write( "Question 1197047: Find two consecutive positive integers wherein the sum of their squares is 145. \n" ); document.write( "

Algebra.Com's Answer #830130 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "It can be solved formally using quadratic equation.  The setup is obvious.\r\n" );
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document.write( "Or it can be solved mentally:  divide  145  by  2  to get  72.5.\r\n" );
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document.write( "Therefore, the squares of two consecutive integer should be 64 and 81.\r\n" );
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document.write( "Indeed, 64 + 81 = 145.\r\n" );
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document.write( "Thus the integers are  8 and 9.      ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved (mentally).\r
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