document.write( "Question 580366: The sum of two numbers is 77 and the product of the two numbers is 1440. \r
\n" ); document.write( "\n" ); document.write( "I found 30 x 48 = 1440 but their sum is 78 \r
\n" ); document.write( "\n" ); document.write( "Where did I go wrong? \n" ); document.write( "

Algebra.Com's Answer #371218 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let the numbers be $\"+a+\"$ and $\"+b+\"$
\n" ); document.write( " $\"+a+%2B+b+=+77+\"$
\n" ); document.write( " $\"+a%2Ab+=+1440+\"$
\n" ); document.write( "---------------
\n" ); document.write( " $\"+b+=+77+-+a+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"++a%2A%28+77+-+a+%29+=+1440+\"$
\n" ); document.write( " $\"+77a+-+a%5E2+=+1440+\"$
\n" ); document.write( " $\"+a%5E2+-+77a+%2B+1440+=+0+\"$
\n" ); document.write( "Use quadratic formula
\n" ); document.write( " $\"+x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"$
\n" ); document.write( " $\"+a+=+1+\"$
\n" ); document.write( " $\"+b+=+-77+\"$
\n" ); document.write( " $\"+c+=+1440+\"$
\n" ); document.write( " $\"+x+=+%28-%28-77%29+%2B-+sqrt%28+%28-77%29%5E2-4%2A1%2A1440+%29%29+%2F+%282%2A1%29+\"$
\n" ); document.write( " $\"+x+=+%28+77+%2B-+sqrt%28+5929+-+5760+%29%29+%2F+2+\"$
\n" ); document.write( " $\"+x+=+%28+77+%2B-+sqrt%28+169+%29%29+%2F+2+\"$
\n" ); document.write( " $\"+x+=+%28+77+%2B-+13%29+%2F+2+\"$
\n" ); document.write( " $\"+x+=+90%2F2+\"$
\n" ); document.write( " $\"+x+=+45+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+x+=+64%2F2+\"$
\n" ); document.write( " $\"+x+=+32+\"$
\n" ); document.write( " $\"+a+%2B+b+=+77+\"$
\n" ); document.write( " $\"+45+%2B+32+=+77+\"$
\n" ); document.write( " $\"+77+=+77+\"$
\n" ); document.write( "The numbers are 32 and 45
\n" ); document.write( "check:
\n" ); document.write( " $\"+a%2Ab+=+1440+\"$
\n" ); document.write( " $\"+32%2A45+=+1440+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );