document.write( "Question 168019This question is from textbook
\n" ); document.write( ": if the product of two consecutive integers is decreased by 20 times the greater integer, the result is 442.find the integers. \n" ); document.write( "

Algebra.Com's Answer #123832 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let consecutive inetgers:
\n" ); document.write( " $\"x\"$ = 1st integer
\n" ); document.write( " $\"x%2B1\"$ =2nd integer
\n" ); document.write( "Condition:
\n" ); document.write( " $\"%28x%29%28x%2B1%29-20%28x%2B1%29=442\"$ , right? ------------------> Eqn 1
\n" ); document.write( "Continuing,
\n" ); document.write( " $\"x%5E2%2Bx-20x-20-442=0\"$
\n" ); document.write( " $\"x%5E2-19x-462=0\"$
\n" ); document.write( "where---- $\"system%28a=1%2Cb=-19%2Cc=-462%29\"$
\n" ); document.write( "By Pyth. Theorem:
\n" ); document.write( " $\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( " $\"x=%28-%28-19%29%2B-sqrt%28-19%5E2-4%2A1%2A-462%29%29%2F%282%2A1%29\"$
\n" ); document.write( " $\"x=%2819%2B-sqrt%28361%2B1848%29%29%2F2\"$
\n" ); document.write( " $\"x=%2819%2B-sqrt%282209%29%29%2F2\"$
\n" ); document.write( " $\"x=%2819%2B-47%29%2F2\"$
\n" ); document.write( "2 values: $\"x=%2819%2B47%29%2F2=66%2F2=highlight%2833%29\"$
\n" ); document.write( " $\"x=%2819-47%29%2F2=-28%2F2=-14\"$
\n" ); document.write( "Use highlighted DISABLED_event_one= 33, 1st integer; 34 = 2nd inetger (Answer)
\n" ); document.write( "Go back Eqn 1 to check:
\n" ); document.write( " $\"33%2833%2B1%29-20%2833%2B1%29=442\"$
\n" ); document.write( " $\"33%2A34-20%2A34=442\"$
\n" ); document.write( " $\"1122-680=442\"$
\n" ); document.write( " $\"442=442\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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