document.write( "Question 167558: I am thinking of three consecutive negative numbers. If I multiply the first with the second and then subtract three times the third, the result is 57. What are the numbers? \n" ); document.write( "
Algebra.Com's Answer #123465 by sowmya(32)![]() ![]() ![]() You can put this solution on YOUR website! I am thinking of three consecutive negative numbers. If I multiply the first with the second and then subtract three times the third, the result is 57. What are the numbers?\r \n" ); document.write( "\n" ); document.write( "solution: \n" ); document.write( "Let the three numbers be x, x+1 and x+2\r \n" ); document.write( "\n" ); document.write( "x(x+1)-3(x+2) = 57\r \n" ); document.write( "\n" ); document.write( "x^2+x-3x-6=57 \n" ); document.write( "x^2-2x-63=0\r \n" ); document.write( "\n" ); document.write( "x^2-9x+7x-63=0 \n" ); document.write( "(x+7)(x-9)=0 \n" ); document.write( "Hence x = -7 or x=9 \n" ); document.write( "But the three numbers shd be negative.So x= -7 \n" ); document.write( "Hence the three consecutive numbers are -7,-8,-9\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |