document.write( "Question 854758: What multiplies to give you -60 and adds to give you -1 \n" ); document.write( "

Algebra.Com's Answer #514884 by Fombitz(32388) $\"\"$ $\"About$

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Let the two numbers be X and Y.
\n" ); document.write( "1. $\"X%2AY=-60\"$
\n" ); document.write( "2. $\"X%2BY=-1\"$
\n" ); document.write( "From eq. 2,
\n" ); document.write( " $\"X=-1-Y=-%281%2BY%29\"$
\n" ); document.write( "Substitute into eq. 1,
\n" ); document.write( " $\"-%281%2BY%29Y=-60\"$
\n" ); document.write( " $\"Y%2BY%5E2=60\"$
\n" ); document.write( " $\"Y%5E2%2BY-60=0\"$
\n" ); document.write( "Use the quadratic formula,
\n" ); document.write( " $\"Y+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"Y+=+%28-1+%2B-+sqrt%28+1%5E2-4%2A1%2A%28-60%29+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"Y+=+%28-1+%2B-+sqrt%28+1%2B240+%29%29%2F%282%29+\"$
\n" ); document.write( " $\"Y+=+%28-1+%2B-+sqrt%28+241+%29%29%2F%282%29+\"$
\n" ); document.write( "So,
\n" ); document.write( "when $\"Y+=+%28-1+%2B+sqrt%28+241+%29%29%2F%282%29+\"$ ,
\n" ); document.write( " $\"X=-1-+%28-1+%2B+sqrt%28+241+%29%29%2F%282%29+\"$
\n" ); document.write( " $\"X=-1%2B1%2F2-sqrt%28241%29%2F2\"$
\n" ); document.write( " $\"X=-1%2F2-sqrt%28241%29%2F2\"$
\n" ); document.write( "and
\n" ); document.write( "when $\"Y+=+%28-1+-+sqrt%28+241+%29%29%2F%282%29+\"$ ,
\n" ); document.write( " $\"X=-1-+%28-1+-+sqrt%28+241+%29%29%2F%282%29+\"$
\n" ); document.write( " $\"X=-1%2B1%2F2%2Bsqrt%28241%29%2F2\"$
\n" ); document.write( " $\"X=-1%2F2%2Bsqrt%28241%29%2F2\"$ \n" ); document.write( "

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