document.write( "Question 447523: Find two possitive numbers whose product equals 357, and whose difference is 4. (use systems of equations to solve)? \n" ); document.write( "

Algebra.Com's Answer #308121 by josmiceli(19441) $\"\"$ $\"About$

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$\"+m%2An+=+357+\"$
\n" ); document.write( " $\"+m+-+n+=+4+\"$
\n" ); document.write( " $\"+n+=+m+-+4+\"$
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"+m%2A%28m+-+4%29+=+357+\"$
\n" ); document.write( " $\"+m%5E2+-+4m+-+357+=+0+\"$
\n" ); document.write( "Use the quadratic formula
\n" ); document.write( " $\"m+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"+a+=+1+\"$
\n" ); document.write( " $\"+b+=+-4+\"$
\n" ); document.write( " $\"+c+=+-357+\"$
\n" ); document.write( " $\"m+=+%284+%2B-+sqrt%28+%28-4%29%5E2+-+4%2A%281%29%2A%28-357%29+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"m+=+%284+%2B-+sqrt%28+16+%2B+1428+%29%29%2F+2+\"$
\n" ); document.write( " $\"m+=+%284+%2B-+sqrt%28+1444+%29%29%2F2+\"$
\n" ); document.write( " $\"+m+=+%284+%2B+38%29%2F2+\"$
\n" ); document.write( " $\"+m+=+42%2F2+\"$
\n" ); document.write( " $\"+m+=+21+\"$
\n" ); document.write( " $\"+n+=+m+-+4+\"$
\n" ); document.write( " $\"+n+=+21+-+4+\"$
\n" ); document.write( " $\"+n+=+17+\"$
\n" ); document.write( "The numbers are 17 and 21 \n" ); document.write( "

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