document.write( "Question 1176836: . Find four rational numbers such that the product of the first, third, and fourth numbers is --6. The second number is 3 less than the first number, the third is 2 less than the second, and the fourth is 2 less than the third \n" ); document.write( "
Algebra.Com's Answer #804671 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
\"a%2Ab%2Ac+%2Ad=+6\"\r
\n" ); document.write( "\n" ); document.write( "The second number is \"3\" less than the first number: \"b=a-3\"\r
\n" ); document.write( "\n" ); document.write( "the third is \"2\" less than the second: \"c=b-2\" => since \"b=a-3\", then \"c=a-3-2=a-5\"\r
\n" ); document.write( "\n" ); document.write( "the fourth is \"2\" less than the third: \"d=c-2\" =>\"d=a-5-2=a-7\"\r
\n" ); document.write( "\n" ); document.write( "\"a%2A%28a-3%29%2A%28a-5%29+%2A%28a-7%29=+6\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5E4+-+15a%5E3+%2B+71a%5E2+-+105a+=+6\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5E4+-+15+a%5E3+%2B+71+a%5E2+-+105+a+-+6=0\"\r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "\"a\"\"-0.055068\"
\n" ); document.write( "\"a\"\"3.2870\"
\n" ); document.write( "\"a\"\"4.6698\"
\n" ); document.write( "\"a\"\"7.0983\"}\r
\n" ); document.write( "\n" ); document.write( "1. start with first solution\r
\n" ); document.write( "\n" ); document.write( " \"a=-0.055068\"
\n" ); document.write( "\"b=a-3=-0.055068-3=-3.055068\"\r
\n" ); document.write( "\n" ); document.write( "\"c=a-5=-0.055068-5=-5.055068\"
\n" ); document.write( "\"d=a-7=-0.055068-7=-7.055068\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "check their product:\r
\n" ); document.write( "\n" ); document.write( "\"%28-0.055068%29%28-3.055068%29%28-5.055068%29%28-7.055068%29=5.999960497216112\"\"6\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "you can use other solutions and form groups of four rational numbers\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );