document.write( "Question 258042: Two numbers have the sum of -6 and a product of -16. Find the integers. \n" ); document.write( "

Algebra.Com's Answer #189886 by drk(1908) $\"\"$ $\"About$

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Let x and Y be the numbers. From the given information, we get
\n" ); document.write( "(i) $\"X+%2B+Y+=+-6\"$
\n" ); document.write( "(ii) $\"X%2AY+=+-16\"$
\n" ); document.write( "step 1 - solve for X in (i) to get
\n" ); document.write( "(iii) $\"X+=+-6+-+Y\"$
\n" ); document.write( "step 2 - substitute (iii) into (ii) to get
\n" ); document.write( "(iv) $\"%28-6-Y%29%28Y%29+=+-16\"$
\n" ); document.write( "expand (iv) to get
\n" ); document.write( "(v) $\"-Y%5E2+-+6Y+=+-16\"$
\n" ); document.write( "set = 0 to get
\n" ); document.write( "(vi) $\"-Y%5E2+-6Y+%2B+16+=+0\"$
\n" ); document.write( "divide by -1 and factor to get
\n" ); document.write( "(vii) $\"%28Y-2%29%28Y%2B8%29=0\"$
\n" ); document.write( "solve to get
\n" ); document.write( "Y = 2, Y = -8. We have two answers in x,y form as
\n" ); document.write( "(-8,2) and (2,-8) \n" ); document.write( "

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