document.write( "Question 858975: what adds up to 2 but multiplies to -1
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Algebra.Com's Answer #517498 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
1. $\"A%2BB=2\"$
\n" ); document.write( "2. $\"A%2AB=-1\"$
\n" ); document.write( "From eq. 2,
\n" ); document.write( " $\"A=-1%2FB\"$
\n" ); document.write( "Substitute into eq. 1,
\n" ); document.write( " $\"-1%2FB%2BB=2\"$
\n" ); document.write( " $\"-1%2BB%5E2=2B\"$
\n" ); document.write( " $\"B%5E2-2B=1\"$
\n" ); document.write( " $\"B%5E2-2B%2B1=1%2B1\"$
\n" ); document.write( " $\"%28B-1%29%5E2=2\"$
\n" ); document.write( " $\"B-1=0+%2B-+sqrt%282%29\"$
\n" ); document.write( " $\"B=1+%2B-+sqrt%282%29\"$
\n" ); document.write( "From eq. 1,
\n" ); document.write( " $\"A=2-B\"$
\n" ); document.write( " $\"A=2-%281%2B-+sqrt%282%29%29\"$
\n" ); document.write( " $\"A=1+%2B-+sqrt%282%29\"$ (in this case it should be -/+ but there's no symbol for that)
\n" ); document.write( "So then,
\n" ); document.write( " $\"A=1-sqrt%282%29\"$ and $\"B=1%2Bsqrt%282%29\"$
\n" ); document.write( "or
\n" ); document.write( " $\"A=1%2Bsqrt%282%29\"$ and $\"B%2B1-sqrt%282%29\"$ \r
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