document.write( "Question 306397: what two numbers multiplied together gives me a negative 2 but added together give me a negative 5 \n" ); document.write( "

Algebra.Com's Answer #219281 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"AB=-2\"$
\n" ); document.write( "2. $\"A%2BB=-5\"$
\n" ); document.write( "From eq. 1,
\n" ); document.write( " $\"AB=-2\"$
\n" ); document.write( " $\"A=-2%2FB\"$
\n" ); document.write( "Substitute in eq. 2,
\n" ); document.write( " $\"A%2BB=-5\"$
\n" ); document.write( " $\"-2%2FB%2BB=-5\"$
\n" ); document.write( " $\"-2%2BB%5E2=-5B\"$
\n" ); document.write( " $\"B%5E2-5B-2=0\"$
\n" ); document.write( "Use the quadratic formula,\r
\n" ); document.write( "\n" ); document.write( " $\"B+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"B+=+%28-%28-5%29+%2B-+sqrt%28+5%5E2-4%2A1%2A%28-2%29+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"B+=+%285%2B-+sqrt%28+25%2B8+%29%29%2F%282%29+\"$
\n" ); document.write( " $\"highlight_green%28+B+=+%285%2B-+sqrt%28+33+%29%29%2F%282%29+%29\"$
\n" ); document.write( "From that then,
\n" ); document.write( " $\"A=-2%2FB\"$
\n" ); document.write( " $\"highlight_green%28A=-1%2F%285+%2B-+sqrt%2833%29%29%29\"$
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\n" ); document.write( "I leave it to you to solve for A and B and verify that they do solve the two equations. \n" ); document.write( "

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