document.write( "Question 1119463: find three consecutive integers such that the product of the first two plus the product of the last two is 8 \n" ); document.write( "

Algebra.Com's Answer #735016 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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find three consecutive integers
\n" ); document.write( "a, a+1, a+2
\n" ); document.write( " such that the product of the first two plus the product of the last two is 8
\n" ); document.write( "a*(a+1) + (a+1)(a+2) = 8
\n" ); document.write( "a^2 + a + a^2 + 2a + 1 + 2 = 8
\n" ); document.write( "2a^2 + 3a + 3 - 8 = 0
\n" ); document.write( "2a^2 + 3a - 5 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(2a+5)(a-1) = 0
\n" ); document.write( "only one integer solution
\n" ); document.write( "a = 1
\n" ); document.write( ":
\n" ); document.write( "the integers 1, 2, 3
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "check
\n" ); document.write( "(1*2) + (2*3) = 8 \n" ); document.write( "

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