document.write( "Question 739965: the sum of 4 term of an A.p is 4 and the sum of the product of the first and the last and the 2 middle term is -3 find the numbers?? \n" ); document.write( "
Algebra.Com's Answer #451437 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the 4 numbers be \n" ); document.write( "a-3d,a-d,a+d,a+3d\r \n" ); document.write( "\n" ); document.write( "a-3d+a-d+a+d+a+3d=4\r \n" ); document.write( "\n" ); document.write( "4a=4 \n" ); document.write( "a=1\r \n" ); document.write( "\n" ); document.write( "(a-d)(a+d)+(a-3d)(a+3d)=-3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a^2-d^2+a^2-9d^2=-3\r \n" ); document.write( "\n" ); document.write( "2a^2-10d^2=-3\r \n" ); document.write( "\n" ); document.write( "but a=1 \n" ); document.write( "2-10d^2=-3 \n" ); document.write( "10d^2=5\r \n" ); document.write( "\n" ); document.write( "d^2=1/2\r \n" ); document.write( "\n" ); document.write( "d= +/- 1/sqrt(2)\r \n" ); document.write( "\n" ); document.write( "1-(3/sqrt(2)), 1-1/sqrt(2),1+1/sqrt(2), 1+(3/sqrt(2))\r \n" ); document.write( "\n" ); document.write( "plug d= -1/sqrt(2) and get the other 4 numbers \n" ); document.write( " |