document.write( "Question 67005: find two integers whose difference is 23 and whose product is 195 \n" ); document.write( "

Algebra.Com's Answer #47639 by ptaylor(2198) $\"\"$ $\"About$

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find two integers whose difference is 23 and whose product is 195\r
\n" ); document.write( "\n" ); document.write( "CHECK YOUR NUMBERS----THE SOLUTIONS TO THIS PROBLEM ARE NOT INTEGERS.\r
\n" ); document.write( "\n" ); document.write( "Let x=larger integer
\n" ); document.write( "x-23=smaller integer\r
\n" ); document.write( "\n" ); document.write( "Now we are told that:\r
\n" ); document.write( "\n" ); document.write( "x(x-23)=195 clear parens\r
\n" ); document.write( "\n" ); document.write( "x^2-23x=195 subtract 195 from both sides:\r
\n" ); document.write( "\n" ); document.write( "x^2-23x-195=0\r
\n" ); document.write( "\n" ); document.write( "Using the quadratic formula, we get:\r
\n" ); document.write( "\n" ); document.write( "x=(+23+or-sqrt(529+780))/2;
\n" ); document.write( "x=(+23+or-sqrt(1309))/2;
\n" ); document.write( "sqrt(1309)=36.180 -----something is wrong!!!\r
\n" ); document.write( "\n" ); document.write( "x cannot be an integer\r
\n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor\r
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